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Finding the Third Proportional to 27,217.27 and 42,769.90

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Solution

The third proportional to 27,217.27 and 42,769.90 is: 67,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.27 : 42,769.90 = 42,769.90 : x
  2. Step 2: Convert to fraction form
    27,217.27/42,769.90 = 42,769.90/x
  3. Step 3: Cross multiply
    27,217.27x = 42,769.90 × 42,769.90
  4. Step 4: Simplify right side
    27,217.27x = 1,829,264,212.35
  5. Step 5: Solve for x
    x = 1,829,264,212.35/27,217.27
  6. Step 6: Final answer
    x = 67,209.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.