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Finding the Third Proportional to 12,730 and 27,884

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Solution

The third proportional to 12,730 and 27,884 is: 61,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730 : 27,884 = 27,884 : x
  2. Step 2: Convert to fraction form
    12,730/27,884 = 27,884/x
  3. Step 3: Cross multiply
    12,730x = 27,884 × 27,884
  4. Step 4: Simplify right side
    12,730x = 777,517,456
  5. Step 5: Solve for x
    x = 777,517,456/12,730
  6. Step 6: Final answer
    x = 61,077.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.