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Finding the Third Proportional to 31,255.88 and 61,084.13

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Solution

The third proportional to 31,255.88 and 61,084.13 is: 119,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255.88 : 61,084.13 = 61,084.13 : x
  2. Step 2: Convert to fraction form
    31,255.88/61,084.13 = 61,084.13/x
  3. Step 3: Cross multiply
    31,255.88x = 61,084.13 × 61,084.13
  4. Step 4: Simplify right side
    31,255.88x = 3,731,270,327.02
  5. Step 5: Solve for x
    x = 3,731,270,327.02/31,255.88
  6. Step 6: Final answer
    x = 119,378.21

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.