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Finding the Third Proportional to 25,656 and 38,381.25

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Solution

The third proportional to 25,656 and 38,381.25 is: 57,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656 : 38,381.25 = 38,381.25 : x
  2. Step 2: Convert to fraction form
    25,656/38,381.25 = 38,381.25/x
  3. Step 3: Cross multiply
    25,656x = 38,381.25 × 38,381.25
  4. Step 4: Simplify right side
    25,656x = 1,473,120,351.56
  5. Step 5: Solve for x
    x = 1,473,120,351.56/25,656
  6. Step 6: Final answer
    x = 57,418.16

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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.