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Finding the Third Proportional to 15,744 and 24,172

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Solution

The third proportional to 15,744 and 24,172 is: 37,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 24,172 = 24,172 : x
  2. Step 2: Convert to fraction form
    15,744/24,172 = 24,172/x
  3. Step 3: Cross multiply
    15,744x = 24,172 × 24,172
  4. Step 4: Simplify right side
    15,744x = 584,285,584
  5. Step 5: Solve for x
    x = 584,285,584/15,744
  6. Step 6: Final answer
    x = 37,111.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.