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Finding the Third Proportional to 31,269.50 and 66,426.50

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Solution

The third proportional to 31,269.50 and 66,426.50 is: 141,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269.50 : 66,426.50 = 66,426.50 : x
  2. Step 2: Convert to fraction form
    31,269.50/66,426.50 = 66,426.50/x
  3. Step 3: Cross multiply
    31,269.50x = 66,426.50 × 66,426.50
  4. Step 4: Simplify right side
    31,269.50x = 4,412,479,902.25
  5. Step 5: Solve for x
    x = 4,412,479,902.25/31,269.50
  6. Step 6: Final answer
    x = 141,111.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.