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Finding the Third Proportional to 15,979 and 24,191

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Solution

The third proportional to 15,979 and 24,191 is: 36,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,979 : 24,191 = 24,191 : x
  2. Step 2: Convert to fraction form
    15,979/24,191 = 24,191/x
  3. Step 3: Cross multiply
    15,979x = 24,191 × 24,191
  4. Step 4: Simplify right side
    15,979x = 585,204,481
  5. Step 5: Solve for x
    x = 585,204,481/15,979
  6. Step 6: Final answer
    x = 36,623.35

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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.