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Finding the Third Proportional to 31,028.06 and 66,975.61

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Solution

The third proportional to 31,028.06 and 66,975.61 is: 144,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.06 : 66,975.61 = 66,975.61 : x
  2. Step 2: Convert to fraction form
    31,028.06/66,975.61 = 66,975.61/x
  3. Step 3: Cross multiply
    31,028.06x = 66,975.61 × 66,975.61
  4. Step 4: Simplify right side
    31,028.06x = 4,485,732,251.15
  5. Step 5: Solve for x
    x = 4,485,732,251.15/31,028.06
  6. Step 6: Final answer
    x = 144,570.17

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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.