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Finding the Third Proportional to 31,953 and 67,211.25

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Solution

The third proportional to 31,953 and 67,211.25 is: 141,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953 : 67,211.25 = 67,211.25 : x
  2. Step 2: Convert to fraction form
    31,953/67,211.25 = 67,211.25/x
  3. Step 3: Cross multiply
    31,953x = 67,211.25 × 67,211.25
  4. Step 4: Simplify right side
    31,953x = 4,517,352,126.56
  5. Step 5: Solve for x
    x = 4,517,352,126.56/31,953
  6. Step 6: Final answer
    x = 141,374.90

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