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Finding the Third Proportional to 25,600 and 38,757

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Solution

The third proportional to 25,600 and 38,757 is: 58,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 38,757 = 38,757 : x
  2. Step 2: Convert to fraction form
    25,600/38,757 = 38,757/x
  3. Step 3: Cross multiply
    25,600x = 38,757 × 38,757
  4. Step 4: Simplify right side
    25,600x = 1,502,105,049
  5. Step 5: Solve for x
    x = 1,502,105,049/25,600
  6. Step 6: Final answer
    x = 58,675.98

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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.