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Finding the Third Proportional to 10,496 and 22,769

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Solution

The third proportional to 10,496 and 22,769 is: 49,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496 : 22,769 = 22,769 : x
  2. Step 2: Convert to fraction form
    10,496/22,769 = 22,769/x
  3. Step 3: Cross multiply
    10,496x = 22,769 × 22,769
  4. Step 4: Simplify right side
    10,496x = 518,427,361
  5. Step 5: Solve for x
    x = 518,427,361/10,496
  6. Step 6: Final answer
    x = 49,392.85

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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.