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Finding the Third Proportional to 38,000.75 and 84,739.50

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Solution

The third proportional to 38,000.75 and 84,739.50 is: 188,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.75 : 84,739.50 = 84,739.50 : x
  2. Step 2: Convert to fraction form
    38,000.75/84,739.50 = 84,739.50/x
  3. Step 3: Cross multiply
    38,000.75x = 84,739.50 × 84,739.50
  4. Step 4: Simplify right side
    38,000.75x = 7,180,782,860.25
  5. Step 5: Solve for x
    x = 7,180,782,860.25/38,000.75
  6. Step 6: Final answer
    x = 188,964.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.