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Finding the Third Proportional to 15,758 and 25,793

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Solution

The third proportional to 15,758 and 25,793 is: 42,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758 : 25,793 = 25,793 : x
  2. Step 2: Convert to fraction form
    15,758/25,793 = 25,793/x
  3. Step 3: Cross multiply
    15,758x = 25,793 × 25,793
  4. Step 4: Simplify right side
    15,758x = 665,278,849
  5. Step 5: Solve for x
    x = 665,278,849/15,758
  6. Step 6: Final answer
    x = 42,218.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.