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Finding the Third Proportional to 15,844 and 24,642

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Solution

The third proportional to 15,844 and 24,642 is: 38,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844 : 24,642 = 24,642 : x
  2. Step 2: Convert to fraction form
    15,844/24,642 = 24,642/x
  3. Step 3: Cross multiply
    15,844x = 24,642 × 24,642
  4. Step 4: Simplify right side
    15,844x = 607,228,164
  5. Step 5: Solve for x
    x = 607,228,164/15,844
  6. Step 6: Final answer
    x = 38,325.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.