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Finding the Third Proportional to 15,540 and 24,712

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Solution

The third proportional to 15,540 and 24,712 is: 39,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,540 : 24,712 = 24,712 : x
  2. Step 2: Convert to fraction form
    15,540/24,712 = 24,712/x
  3. Step 3: Cross multiply
    15,540x = 24,712 × 24,712
  4. Step 4: Simplify right side
    15,540x = 610,682,944
  5. Step 5: Solve for x
    x = 610,682,944/15,540
  6. Step 6: Final answer
    x = 39,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.