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Finding the Third Proportional to 20,364.75 and 29,794.50

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Solution

The third proportional to 20,364.75 and 29,794.50 is: 43,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.75 : 29,794.50 = 29,794.50 : x
  2. Step 2: Convert to fraction form
    20,364.75/29,794.50 = 29,794.50/x
  3. Step 3: Cross multiply
    20,364.75x = 29,794.50 × 29,794.50
  4. Step 4: Simplify right side
    20,364.75x = 887,712,230.25
  5. Step 5: Solve for x
    x = 887,712,230.25/20,364.75
  6. Step 6: Final answer
    x = 43,590.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.