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Finding the Third Proportional to 8,429.06 and 9,306.14

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Solution

The third proportional to 8,429.06 and 9,306.14 is: 10,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.06 : 9,306.14 = 9,306.14 : x
  2. Step 2: Convert to fraction form
    8,429.06/9,306.14 = 9,306.14/x
  3. Step 3: Cross multiply
    8,429.06x = 9,306.14 × 9,306.14
  4. Step 4: Simplify right side
    8,429.06x = 86,604,253.33
  5. Step 5: Solve for x
    x = 86,604,253.33/8,429.06
  6. Step 6: Final answer
    x = 10,274.48

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.