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Finding the Third Proportional to 13,734 and 28,060

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Solution

The third proportional to 13,734 and 28,060 is: 57,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 28,060 = 28,060 : x
  2. Step 2: Convert to fraction form
    13,734/28,060 = 28,060/x
  3. Step 3: Cross multiply
    13,734x = 28,060 × 28,060
  4. Step 4: Simplify right side
    13,734x = 787,363,600
  5. Step 5: Solve for x
    x = 787,363,600/13,734
  6. Step 6: Final answer
    x = 57,329.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.