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Finding the Third Proportional to 10,563 and 22,854

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Solution

The third proportional to 10,563 and 22,854 is: 49,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563 : 22,854 = 22,854 : x
  2. Step 2: Convert to fraction form
    10,563/22,854 = 22,854/x
  3. Step 3: Cross multiply
    10,563x = 22,854 × 22,854
  4. Step 4: Simplify right side
    10,563x = 522,305,316
  5. Step 5: Solve for x
    x = 522,305,316/10,563
  6. Step 6: Final answer
    x = 49,446.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.