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Finding the Third Proportional to 24,866 and 55,264

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Solution

The third proportional to 24,866 and 55,264 is: 122,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866 : 55,264 = 55,264 : x
  2. Step 2: Convert to fraction form
    24,866/55,264 = 55,264/x
  3. Step 3: Cross multiply
    24,866x = 55,264 × 55,264
  4. Step 4: Simplify right side
    24,866x = 3,054,109,696
  5. Step 5: Solve for x
    x = 3,054,109,696/24,866
  6. Step 6: Final answer
    x = 122,822.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.