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Finding the Third Proportional to 7,414.88 and 11,397.38

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Solution

The third proportional to 7,414.88 and 11,397.38 is: 17,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.88 : 11,397.38 = 11,397.38 : x
  2. Step 2: Convert to fraction form
    7,414.88/11,397.38 = 11,397.38/x
  3. Step 3: Cross multiply
    7,414.88x = 11,397.38 × 11,397.38
  4. Step 4: Simplify right side
    7,414.88x = 129,900,156.89
  5. Step 5: Solve for x
    x = 129,900,156.89/7,414.88
  6. Step 6: Final answer
    x = 17,518.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.