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Finding the Third Proportional to 7,291.13 and 10,934.25

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Solution

The third proportional to 7,291.13 and 10,934.25 is: 16,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.13 : 10,934.25 = 10,934.25 : x
  2. Step 2: Convert to fraction form
    7,291.13/10,934.25 = 10,934.25/x
  3. Step 3: Cross multiply
    7,291.13x = 10,934.25 × 10,934.25
  4. Step 4: Simplify right side
    7,291.13x = 119,557,823.06
  5. Step 5: Solve for x
    x = 119,557,823.06/7,291.13
  6. Step 6: Final answer
    x = 16,397.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.