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Finding the Third Proportional to 41,501 and 62,282

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Solution

The third proportional to 41,501 and 62,282 is: 93,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,501 : 62,282 = 62,282 : x
  2. Step 2: Convert to fraction form
    41,501/62,282 = 62,282/x
  3. Step 3: Cross multiply
    41,501x = 62,282 × 62,282
  4. Step 4: Simplify right side
    41,501x = 3,879,047,524
  5. Step 5: Solve for x
    x = 3,879,047,524/41,501
  6. Step 6: Final answer
    x = 93,468.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.