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Finding the Third Proportional to 15,736 and 24,684

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Solution

The third proportional to 15,736 and 24,684 is: 38,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736 : 24,684 = 24,684 : x
  2. Step 2: Convert to fraction form
    15,736/24,684 = 24,684/x
  3. Step 3: Cross multiply
    15,736x = 24,684 × 24,684
  4. Step 4: Simplify right side
    15,736x = 609,299,856
  5. Step 5: Solve for x
    x = 609,299,856/15,736
  6. Step 6: Final answer
    x = 38,720.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.