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Finding the Third Proportional to 7,234.47 and 15,196.04

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Solution

The third proportional to 7,234.47 and 15,196.04 is: 31,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.47 : 15,196.04 = 15,196.04 : x
  2. Step 2: Convert to fraction form
    7,234.47/15,196.04 = 15,196.04/x
  3. Step 3: Cross multiply
    7,234.47x = 15,196.04 × 15,196.04
  4. Step 4: Simplify right side
    7,234.47x = 230,919,721.91
  5. Step 5: Solve for x
    x = 230,919,721.91/7,234.47
  6. Step 6: Final answer
    x = 31,919.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.