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Finding the Third Proportional to 18,101 and 28,424

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Solution

The third proportional to 18,101 and 28,424 is: 44,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101 : 28,424 = 28,424 : x
  2. Step 2: Convert to fraction form
    18,101/28,424 = 28,424/x
  3. Step 3: Cross multiply
    18,101x = 28,424 × 28,424
  4. Step 4: Simplify right side
    18,101x = 807,923,776
  5. Step 5: Solve for x
    x = 807,923,776/18,101
  6. Step 6: Final answer
    x = 44,634.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.