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Finding the Third Proportional to 31,557 and 44,175

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Solution

The third proportional to 31,557 and 44,175 is: 61,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557 : 44,175 = 44,175 : x
  2. Step 2: Convert to fraction form
    31,557/44,175 = 44,175/x
  3. Step 3: Cross multiply
    31,557x = 44,175 × 44,175
  4. Step 4: Simplify right side
    31,557x = 1,951,430,625
  5. Step 5: Solve for x
    x = 1,951,430,625/31,557
  6. Step 6: Final answer
    x = 61,838.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.