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Finding the Third Proportional to 41,484 and 62,994

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Solution

The third proportional to 41,484 and 62,994 is: 95,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,484 : 62,994 = 62,994 : x
  2. Step 2: Convert to fraction form
    41,484/62,994 = 62,994/x
  3. Step 3: Cross multiply
    41,484x = 62,994 × 62,994
  4. Step 4: Simplify right side
    41,484x = 3,968,244,036
  5. Step 5: Solve for x
    x = 3,968,244,036/41,484
  6. Step 6: Final answer
    x = 95,657.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.