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Finding the Third Proportional to 5,742 and 12,480

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Solution

The third proportional to 5,742 and 12,480 is: 27,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 12,480 = 12,480 : x
  2. Step 2: Convert to fraction form
    5,742/12,480 = 12,480/x
  3. Step 3: Cross multiply
    5,742x = 12,480 × 12,480
  4. Step 4: Simplify right side
    5,742x = 155,750,400
  5. Step 5: Solve for x
    x = 155,750,400/5,742
  6. Step 6: Final answer
    x = 27,124.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.