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Finding the Third Proportional to 24,596 and 38,686

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Solution

The third proportional to 24,596 and 38,686 is: 60,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596 : 38,686 = 38,686 : x
  2. Step 2: Convert to fraction form
    24,596/38,686 = 38,686/x
  3. Step 3: Cross multiply
    24,596x = 38,686 × 38,686
  4. Step 4: Simplify right side
    24,596x = 1,496,606,596
  5. Step 5: Solve for x
    x = 1,496,606,596/24,596
  6. Step 6: Final answer
    x = 60,847.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.