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Finding the Third Proportional to 3,712.92 and 7,731.91

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Solution

The third proportional to 3,712.92 and 7,731.91 is: 16,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.92 : 7,731.91 = 7,731.91 : x
  2. Step 2: Convert to fraction form
    3,712.92/7,731.91 = 7,731.91/x
  3. Step 3: Cross multiply
    3,712.92x = 7,731.91 × 7,731.91
  4. Step 4: Simplify right side
    3,712.92x = 59,782,495.07
  5. Step 5: Solve for x
    x = 59,782,495.07/3,712.92
  6. Step 6: Final answer
    x = 16,101.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.