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Finding the Third Proportional to 39,234.75 and 84,909

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Solution

The third proportional to 39,234.75 and 84,909 is: 183,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,234.75 : 84,909 = 84,909 : x
  2. Step 2: Convert to fraction form
    39,234.75/84,909 = 84,909/x
  3. Step 3: Cross multiply
    39,234.75x = 84,909 × 84,909
  4. Step 4: Simplify right side
    39,234.75x = 7,209,538,281
  5. Step 5: Solve for x
    x = 7,209,538,281/39,234.75
  6. Step 6: Final answer
    x = 183,753.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.