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Finding the Third Proportional to 7,306.14 and 11,386.83

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Solution

The third proportional to 7,306.14 and 11,386.83 is: 17,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.14 : 11,386.83 = 11,386.83 : x
  2. Step 2: Convert to fraction form
    7,306.14/11,386.83 = 11,386.83/x
  3. Step 3: Cross multiply
    7,306.14x = 11,386.83 × 11,386.83
  4. Step 4: Simplify right side
    7,306.14x = 129,659,854.75
  5. Step 5: Solve for x
    x = 129,659,854.75/7,306.14
  6. Step 6: Final answer
    x = 17,746.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.