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Finding the Third Proportional to 9,325.13 and 22,006.69

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Solution

The third proportional to 9,325.13 and 22,006.69 is: 51,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.13 : 22,006.69 = 22,006.69 : x
  2. Step 2: Convert to fraction form
    9,325.13/22,006.69 = 22,006.69/x
  3. Step 3: Cross multiply
    9,325.13x = 22,006.69 × 22,006.69
  4. Step 4: Simplify right side
    9,325.13x = 484,294,294.72
  5. Step 5: Solve for x
    x = 484,294,294.72/9,325.13
  6. Step 6: Final answer
    x = 51,934.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.