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Finding the Third Proportional to 39,444 and 61,110

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Solution

The third proportional to 39,444 and 61,110 is: 94,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,444 : 61,110 = 61,110 : x
  2. Step 2: Convert to fraction form
    39,444/61,110 = 61,110/x
  3. Step 3: Cross multiply
    39,444x = 61,110 × 61,110
  4. Step 4: Simplify right side
    39,444x = 3,734,432,100
  5. Step 5: Solve for x
    x = 3,734,432,100/39,444
  6. Step 6: Final answer
    x = 94,676.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.