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Finding the Third Proportional to 8,128.69 and 9,298.13

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Solution

The third proportional to 8,128.69 and 9,298.13 is: 10,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.69 : 9,298.13 = 9,298.13 : x
  2. Step 2: Convert to fraction form
    8,128.69/9,298.13 = 9,298.13/x
  3. Step 3: Cross multiply
    8,128.69x = 9,298.13 × 9,298.13
  4. Step 4: Simplify right side
    8,128.69x = 86,455,128.52
  5. Step 5: Solve for x
    x = 86,455,128.52/8,128.69
  6. Step 6: Final answer
    x = 10,635.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.