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Finding the Third Proportional to 15,696 and 24,016

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Solution

The third proportional to 15,696 and 24,016 is: 36,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 24,016 = 24,016 : x
  2. Step 2: Convert to fraction form
    15,696/24,016 = 24,016/x
  3. Step 3: Cross multiply
    15,696x = 24,016 × 24,016
  4. Step 4: Simplify right side
    15,696x = 576,768,256
  5. Step 5: Solve for x
    x = 576,768,256/15,696
  6. Step 6: Final answer
    x = 36,746.19

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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.