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Finding the Third Proportional to 46,591 and 62,074

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Solution

The third proportional to 46,591 and 62,074 is: 82,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,591 : 62,074 = 62,074 : x
  2. Step 2: Convert to fraction form
    46,591/62,074 = 62,074/x
  3. Step 3: Cross multiply
    46,591x = 62,074 × 62,074
  4. Step 4: Simplify right side
    46,591x = 3,853,181,476
  5. Step 5: Solve for x
    x = 3,853,181,476/46,591
  6. Step 6: Final answer
    x = 82,702.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.