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Finding the Third Proportional to 44,614 and 61,175

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Solution

The third proportional to 44,614 and 61,175 is: 83,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,614 : 61,175 = 61,175 : x
  2. Step 2: Convert to fraction form
    44,614/61,175 = 61,175/x
  3. Step 3: Cross multiply
    44,614x = 61,175 × 61,175
  4. Step 4: Simplify right side
    44,614x = 3,742,380,625
  5. Step 5: Solve for x
    x = 3,742,380,625/44,614
  6. Step 6: Final answer
    x = 83,883.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.