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Finding the Third Proportional to 27,650 and 42,699

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Solution

The third proportional to 27,650 and 42,699 is: 65,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650 : 42,699 = 42,699 : x
  2. Step 2: Convert to fraction form
    27,650/42,699 = 42,699/x
  3. Step 3: Cross multiply
    27,650x = 42,699 × 42,699
  4. Step 4: Simplify right side
    27,650x = 1,823,204,601
  5. Step 5: Solve for x
    x = 1,823,204,601/27,650
  6. Step 6: Final answer
    x = 65,938.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.