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Finding the Third Proportional to 10,422 and 22,863

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Solution

The third proportional to 10,422 and 22,863 is: 50,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422 : 22,863 = 22,863 : x
  2. Step 2: Convert to fraction form
    10,422/22,863 = 22,863/x
  3. Step 3: Cross multiply
    10,422x = 22,863 × 22,863
  4. Step 4: Simplify right side
    10,422x = 522,716,769
  5. Step 5: Solve for x
    x = 522,716,769/10,422
  6. Step 6: Final answer
    x = 50,155.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.