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Finding the Third Proportional to 12,734 and 27,746

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Solution

The third proportional to 12,734 and 27,746 is: 60,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734 : 27,746 = 27,746 : x
  2. Step 2: Convert to fraction form
    12,734/27,746 = 27,746/x
  3. Step 3: Cross multiply
    12,734x = 27,746 × 27,746
  4. Step 4: Simplify right side
    12,734x = 769,840,516
  5. Step 5: Solve for x
    x = 769,840,516/12,734
  6. Step 6: Final answer
    x = 60,455.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.