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Finding the Third Proportional to 38,032.25 and 84,809.50

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Solution

The third proportional to 38,032.25 and 84,809.50 is: 189,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032.25 : 84,809.50 = 84,809.50 : x
  2. Step 2: Convert to fraction form
    38,032.25/84,809.50 = 84,809.50/x
  3. Step 3: Cross multiply
    38,032.25x = 84,809.50 × 84,809.50
  4. Step 4: Simplify right side
    38,032.25x = 7,192,651,290.25
  5. Step 5: Solve for x
    x = 7,192,651,290.25/38,032.25
  6. Step 6: Final answer
    x = 189,119.79

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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.