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Finding the Third Proportional to 26,446 and 55,486

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Solution

The third proportional to 26,446 and 55,486 is: 116,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446 : 55,486 = 55,486 : x
  2. Step 2: Convert to fraction form
    26,446/55,486 = 55,486/x
  3. Step 3: Cross multiply
    26,446x = 55,486 × 55,486
  4. Step 4: Simplify right side
    26,446x = 3,078,696,196
  5. Step 5: Solve for x
    x = 3,078,696,196/26,446
  6. Step 6: Final answer
    x = 116,414.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.