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Finding the Third Proportional to 9,758.25 and 22,965.19

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Solution

The third proportional to 9,758.25 and 22,965.19 is: 54,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.25 : 22,965.19 = 22,965.19 : x
  2. Step 2: Convert to fraction form
    9,758.25/22,965.19 = 22,965.19/x
  3. Step 3: Cross multiply
    9,758.25x = 22,965.19 × 22,965.19
  4. Step 4: Simplify right side
    9,758.25x = 527,399,836.91
  5. Step 5: Solve for x
    x = 527,399,836.91/9,758.25
  6. Step 6: Final answer
    x = 54,046.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.