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Finding the Third Proportional to 10,114.88 and 15,121.69

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Solution

The third proportional to 10,114.88 and 15,121.69 is: 22,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 15,121.69 = 15,121.69 : x
  2. Step 2: Convert to fraction form
    10,114.88/15,121.69 = 15,121.69/x
  3. Step 3: Cross multiply
    10,114.88x = 15,121.69 × 15,121.69
  4. Step 4: Simplify right side
    10,114.88x = 228,665,432.85
  5. Step 5: Solve for x
    x = 228,665,432.85/10,114.88
  6. Step 6: Final answer
    x = 22,606.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.