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Finding the Third Proportional to 22,457 and 48,802

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Solution

The third proportional to 22,457 and 48,802 is: 106,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457 : 48,802 = 48,802 : x
  2. Step 2: Convert to fraction form
    22,457/48,802 = 48,802/x
  3. Step 3: Cross multiply
    22,457x = 48,802 × 48,802
  4. Step 4: Simplify right side
    22,457x = 2,381,635,204
  5. Step 5: Solve for x
    x = 2,381,635,204/22,457
  6. Step 6: Final answer
    x = 106,053.13

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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.