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Finding the Third Proportional to 18,727 and 25,051

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Solution

The third proportional to 18,727 and 25,051 is: 33,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,727 : 25,051 = 25,051 : x
  2. Step 2: Convert to fraction form
    18,727/25,051 = 25,051/x
  3. Step 3: Cross multiply
    18,727x = 25,051 × 25,051
  4. Step 4: Simplify right side
    18,727x = 627,552,601
  5. Step 5: Solve for x
    x = 627,552,601/18,727
  6. Step 6: Final answer
    x = 33,510.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.