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Finding the Third Proportional to 25,744 and 38,780

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Solution

The third proportional to 25,744 and 38,780 is: 58,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744 : 38,780 = 38,780 : x
  2. Step 2: Convert to fraction form
    25,744/38,780 = 38,780/x
  3. Step 3: Cross multiply
    25,744x = 38,780 × 38,780
  4. Step 4: Simplify right side
    25,744x = 1,503,888,400
  5. Step 5: Solve for x
    x = 1,503,888,400/25,744
  6. Step 6: Final answer
    x = 58,417.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.