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Finding the Third Proportional to 3,700.31 and 7,927.13

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Solution

The third proportional to 3,700.31 and 7,927.13 is: 16,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.31 : 7,927.13 = 7,927.13 : x
  2. Step 2: Convert to fraction form
    3,700.31/7,927.13 = 7,927.13/x
  3. Step 3: Cross multiply
    3,700.31x = 7,927.13 × 7,927.13
  4. Step 4: Simplify right side
    3,700.31x = 62,839,310.77
  5. Step 5: Solve for x
    x = 62,839,310.77/3,700.31
  6. Step 6: Final answer
    x = 16,982.16

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Why These Related Problems?

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