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Finding the Third Proportional to 10,207.69 and 15,311.53

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Solution

The third proportional to 10,207.69 and 15,311.53 is: 22,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.69 : 15,311.53 = 15,311.53 : x
  2. Step 2: Convert to fraction form
    10,207.69/15,311.53 = 15,311.53/x
  3. Step 3: Cross multiply
    10,207.69x = 15,311.53 × 15,311.53
  4. Step 4: Simplify right side
    10,207.69x = 234,442,989.22
  5. Step 5: Solve for x
    x = 234,442,989.22/10,207.69
  6. Step 6: Final answer
    x = 22,967.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.