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Finding the Third Proportional to 7,531.73 and 11,493.14

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Solution

The third proportional to 7,531.73 and 11,493.14 is: 17,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.73 : 11,493.14 = 11,493.14 : x
  2. Step 2: Convert to fraction form
    7,531.73/11,493.14 = 11,493.14/x
  3. Step 3: Cross multiply
    7,531.73x = 11,493.14 × 11,493.14
  4. Step 4: Simplify right side
    7,531.73x = 132,092,281.43
  5. Step 5: Solve for x
    x = 132,092,281.43/7,531.73
  6. Step 6: Final answer
    x = 17,538.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.