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Finding the Third Proportional to 31,083.75 and 67,081.50

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Solution

The third proportional to 31,083.75 and 67,081.50 is: 144,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.75 : 67,081.50 = 67,081.50 : x
  2. Step 2: Convert to fraction form
    31,083.75/67,081.50 = 67,081.50/x
  3. Step 3: Cross multiply
    31,083.75x = 67,081.50 × 67,081.50
  4. Step 4: Simplify right side
    31,083.75x = 4,499,927,642.25
  5. Step 5: Solve for x
    x = 4,499,927,642.25/31,083.75
  6. Step 6: Final answer
    x = 144,767.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.