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Finding the Third Proportional to 28,541 and 61,474

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Solution

The third proportional to 28,541 and 61,474 is: 132,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,541 : 61,474 = 61,474 : x
  2. Step 2: Convert to fraction form
    28,541/61,474 = 61,474/x
  3. Step 3: Cross multiply
    28,541x = 61,474 × 61,474
  4. Step 4: Simplify right side
    28,541x = 3,779,052,676
  5. Step 5: Solve for x
    x = 3,779,052,676/28,541
  6. Step 6: Final answer
    x = 132,407.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.