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Finding the Third Proportional to 7,273.13 and 8,658.56

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Solution

The third proportional to 7,273.13 and 8,658.56 is: 10,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.13 : 8,658.56 = 8,658.56 : x
  2. Step 2: Convert to fraction form
    7,273.13/8,658.56 = 8,658.56/x
  3. Step 3: Cross multiply
    7,273.13x = 8,658.56 × 8,658.56
  4. Step 4: Simplify right side
    7,273.13x = 74,970,704.57
  5. Step 5: Solve for x
    x = 74,970,704.57/7,273.13
  6. Step 6: Final answer
    x = 10,307.91

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.