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Finding the Third Proportional to 25,418.25 and 38,127.38

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Solution

The third proportional to 25,418.25 and 38,127.38 is: 57,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,418.25 : 38,127.38 = 38,127.38 : x
  2. Step 2: Convert to fraction form
    25,418.25/38,127.38 = 38,127.38/x
  3. Step 3: Cross multiply
    25,418.25x = 38,127.38 × 38,127.38
  4. Step 4: Simplify right side
    25,418.25x = 1,453,696,724.39
  5. Step 5: Solve for x
    x = 1,453,696,724.39/25,418.25
  6. Step 6: Final answer
    x = 57,191.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.