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Finding the Third Proportional to 41,024 and 61,468

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Solution

The third proportional to 41,024 and 61,468 is: 92,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024 : 61,468 = 61,468 : x
  2. Step 2: Convert to fraction form
    41,024/61,468 = 61,468/x
  3. Step 3: Cross multiply
    41,024x = 61,468 × 61,468
  4. Step 4: Simplify right side
    41,024x = 3,778,315,024
  5. Step 5: Solve for x
    x = 3,778,315,024/41,024
  6. Step 6: Final answer
    x = 92,100.11

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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.