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Finding the Third Proportional to 25,760 and 38,701

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Solution

The third proportional to 25,760 and 38,701 is: 58,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 38,701 = 38,701 : x
  2. Step 2: Convert to fraction form
    25,760/38,701 = 38,701/x
  3. Step 3: Cross multiply
    25,760x = 38,701 × 38,701
  4. Step 4: Simplify right side
    25,760x = 1,497,767,401
  5. Step 5: Solve for x
    x = 1,497,767,401/25,760
  6. Step 6: Final answer
    x = 58,143.14

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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.