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Finding the Third Proportional to 16,077.38 and 34,462.13

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Solution

The third proportional to 16,077.38 and 34,462.13 is: 73,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.38 : 34,462.13 = 34,462.13 : x
  2. Step 2: Convert to fraction form
    16,077.38/34,462.13 = 34,462.13/x
  3. Step 3: Cross multiply
    16,077.38x = 34,462.13 × 34,462.13
  4. Step 4: Simplify right side
    16,077.38x = 1,187,638,059.52
  5. Step 5: Solve for x
    x = 1,187,638,059.52/16,077.38
  6. Step 6: Final answer
    x = 73,870.15

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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.