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Finding the Third Proportional to 34,042.13 and 52,498.88

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Solution

The third proportional to 34,042.13 and 52,498.88 is: 80,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.13 : 52,498.88 = 52,498.88 : x
  2. Step 2: Convert to fraction form
    34,042.13/52,498.88 = 52,498.88/x
  3. Step 3: Cross multiply
    34,042.13x = 52,498.88 × 52,498.88
  4. Step 4: Simplify right side
    34,042.13x = 2,756,131,876.27
  5. Step 5: Solve for x
    x = 2,756,131,876.27/34,042.13
  6. Step 6: Final answer
    x = 80,962.39

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