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Finding the Third Proportional to 44,036 and 92,424

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Solution

The third proportional to 44,036 and 92,424 is: 193,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,036 : 92,424 = 92,424 : x
  2. Step 2: Convert to fraction form
    44,036/92,424 = 92,424/x
  3. Step 3: Cross multiply
    44,036x = 92,424 × 92,424
  4. Step 4: Simplify right side
    44,036x = 8,542,195,776
  5. Step 5: Solve for x
    x = 8,542,195,776/44,036
  6. Step 6: Final answer
    x = 193,982.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.