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Finding the Third Proportional to 31,242.50 and 67,405.75

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Solution

The third proportional to 31,242.50 and 67,405.75 is: 145,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.50 : 67,405.75 = 67,405.75 : x
  2. Step 2: Convert to fraction form
    31,242.50/67,405.75 = 67,405.75/x
  3. Step 3: Cross multiply
    31,242.50x = 67,405.75 × 67,405.75
  4. Step 4: Simplify right side
    31,242.50x = 4,543,535,133.06
  5. Step 5: Solve for x
    x = 4,543,535,133.06/31,242.50
  6. Step 6: Final answer
    x = 145,428.03

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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.