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Finding the Third Proportional to 15,736 and 24,151

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Solution

The third proportional to 15,736 and 24,151 is: 37,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736 : 24,151 = 24,151 : x
  2. Step 2: Convert to fraction form
    15,736/24,151 = 24,151/x
  3. Step 3: Cross multiply
    15,736x = 24,151 × 24,151
  4. Step 4: Simplify right side
    15,736x = 583,270,801
  5. Step 5: Solve for x
    x = 583,270,801/15,736
  6. Step 6: Final answer
    x = 37,066.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.