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Finding the Third Proportional to 49,466 and 76,035

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Solution

The third proportional to 49,466 and 76,035 is: 116,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,466 : 76,035 = 76,035 : x
  2. Step 2: Convert to fraction form
    49,466/76,035 = 76,035/x
  3. Step 3: Cross multiply
    49,466x = 76,035 × 76,035
  4. Step 4: Simplify right side
    49,466x = 5,781,321,225
  5. Step 5: Solve for x
    x = 5,781,321,225/49,466
  6. Step 6: Final answer
    x = 116,874.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.