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Finding the Third Proportional to 27,494.50 and 58,877

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Solution

The third proportional to 27,494.50 and 58,877 is: 126,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.50 : 58,877 = 58,877 : x
  2. Step 2: Convert to fraction form
    27,494.50/58,877 = 58,877/x
  3. Step 3: Cross multiply
    27,494.50x = 58,877 × 58,877
  4. Step 4: Simplify right side
    27,494.50x = 3,466,501,129
  5. Step 5: Solve for x
    x = 3,466,501,129/27,494.50
  6. Step 6: Final answer
    x = 126,079.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.