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Finding the Third Proportional to 7,023.38 and 10,497.94

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Solution

The third proportional to 7,023.38 and 10,497.94 is: 15,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.38 : 10,497.94 = 10,497.94 : x
  2. Step 2: Convert to fraction form
    7,023.38/10,497.94 = 10,497.94/x
  3. Step 3: Cross multiply
    7,023.38x = 10,497.94 × 10,497.94
  4. Step 4: Simplify right side
    7,023.38x = 110,206,691.75
  5. Step 5: Solve for x
    x = 110,206,691.75/7,023.38
  6. Step 6: Final answer
    x = 15,691.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.