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Finding the Third Proportional to 24,952 and 55,664

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Solution

The third proportional to 24,952 and 55,664 is: 124,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952 : 55,664 = 55,664 : x
  2. Step 2: Convert to fraction form
    24,952/55,664 = 55,664/x
  3. Step 3: Cross multiply
    24,952x = 55,664 × 55,664
  4. Step 4: Simplify right side
    24,952x = 3,098,480,896
  5. Step 5: Solve for x
    x = 3,098,480,896/24,952
  6. Step 6: Final answer
    x = 124,177.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.