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Finding the Third Proportional to 10,468 and 22,754

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Solution

The third proportional to 10,468 and 22,754 is: 49,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468 : 22,754 = 22,754 : x
  2. Step 2: Convert to fraction form
    10,468/22,754 = 22,754/x
  3. Step 3: Cross multiply
    10,468x = 22,754 × 22,754
  4. Step 4: Simplify right side
    10,468x = 517,744,516
  5. Step 5: Solve for x
    x = 517,744,516/10,468
  6. Step 6: Final answer
    x = 49,459.74

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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.