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Finding the Third Proportional to 10,114.88 and 15,354.56

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Solution

The third proportional to 10,114.88 and 15,354.56 is: 23,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 15,354.56 = 15,354.56 : x
  2. Step 2: Convert to fraction form
    10,114.88/15,354.56 = 15,354.56/x
  3. Step 3: Cross multiply
    10,114.88x = 15,354.56 × 15,354.56
  4. Step 4: Simplify right side
    10,114.88x = 235,762,589.57
  5. Step 5: Solve for x
    x = 235,762,589.57/10,114.88
  6. Step 6: Final answer
    x = 23,308.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.