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Finding the Third Proportional to 28,646 and 62,941

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Solution

The third proportional to 28,646 and 62,941 is: 138,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,646 : 62,941 = 62,941 : x
  2. Step 2: Convert to fraction form
    28,646/62,941 = 62,941/x
  3. Step 3: Cross multiply
    28,646x = 62,941 × 62,941
  4. Step 4: Simplify right side
    28,646x = 3,961,569,481
  5. Step 5: Solve for x
    x = 3,961,569,481/28,646
  6. Step 6: Final answer
    x = 138,293.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.