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Finding the Third Proportional to 25,016 and 38,724

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Solution

The third proportional to 25,016 and 38,724 is: 59,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,016 : 38,724 = 38,724 : x
  2. Step 2: Convert to fraction form
    25,016/38,724 = 38,724/x
  3. Step 3: Cross multiply
    25,016x = 38,724 × 38,724
  4. Step 4: Simplify right side
    25,016x = 1,499,548,176
  5. Step 5: Solve for x
    x = 1,499,548,176/25,016
  6. Step 6: Final answer
    x = 59,943.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.