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Finding the Third Proportional to 31,218.50 and 66,903.25

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Solution

The third proportional to 31,218.50 and 66,903.25 is: 143,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218.50 : 66,903.25 = 66,903.25 : x
  2. Step 2: Convert to fraction form
    31,218.50/66,903.25 = 66,903.25/x
  3. Step 3: Cross multiply
    31,218.50x = 66,903.25 × 66,903.25
  4. Step 4: Simplify right side
    31,218.50x = 4,476,044,860.56
  5. Step 5: Solve for x
    x = 4,476,044,860.56/31,218.50
  6. Step 6: Final answer
    x = 143,377.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.