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Finding the Third Proportional to 7,171.03 and 11,374.17

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Solution

The third proportional to 7,171.03 and 11,374.17 is: 18,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.03 : 11,374.17 = 11,374.17 : x
  2. Step 2: Convert to fraction form
    7,171.03/11,374.17 = 11,374.17/x
  3. Step 3: Cross multiply
    7,171.03x = 11,374.17 × 11,374.17
  4. Step 4: Simplify right side
    7,171.03x = 129,371,785.84
  5. Step 5: Solve for x
    x = 129,371,785.84/7,171.03
  6. Step 6: Final answer
    x = 18,040.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.