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Finding the Third Proportional to 10,452.38 and 22,641.19

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Solution

The third proportional to 10,452.38 and 22,641.19 is: 49,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.38 : 22,641.19 = 22,641.19 : x
  2. Step 2: Convert to fraction form
    10,452.38/22,641.19 = 22,641.19/x
  3. Step 3: Cross multiply
    10,452.38x = 22,641.19 × 22,641.19
  4. Step 4: Simplify right side
    10,452.38x = 512,623,371.41
  5. Step 5: Solve for x
    x = 512,623,371.41/10,452.38
  6. Step 6: Final answer
    x = 49,043.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.