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Finding the Third Proportional to 40,872 and 61,444

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Solution

The third proportional to 40,872 and 61,444 is: 92,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,872 : 61,444 = 61,444 : x
  2. Step 2: Convert to fraction form
    40,872/61,444 = 61,444/x
  3. Step 3: Cross multiply
    40,872x = 61,444 × 61,444
  4. Step 4: Simplify right side
    40,872x = 3,775,365,136
  5. Step 5: Solve for x
    x = 3,775,365,136/40,872
  6. Step 6: Final answer
    x = 92,370.45

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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.