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Finding the Third Proportional to 7,234.31 and 15,800.06

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Solution

The third proportional to 7,234.31 and 15,800.06 is: 34,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.31 : 15,800.06 = 15,800.06 : x
  2. Step 2: Convert to fraction form
    7,234.31/15,800.06 = 15,800.06/x
  3. Step 3: Cross multiply
    7,234.31x = 15,800.06 × 15,800.06
  4. Step 4: Simplify right side
    7,234.31x = 249,641,975.00
  5. Step 5: Solve for x
    x = 249,641,975.00/7,234.31
  6. Step 6: Final answer
    x = 34,508.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.