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Finding the Third Proportional to 31,434.75 and 67,363.31

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Solution

The third proportional to 31,434.75 and 67,363.31 is: 144,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.75 : 67,363.31 = 67,363.31 : x
  2. Step 2: Convert to fraction form
    31,434.75/67,363.31 = 67,363.31/x
  3. Step 3: Cross multiply
    31,434.75x = 67,363.31 × 67,363.31
  4. Step 4: Simplify right side
    31,434.75x = 4,537,815,870.97
  5. Step 5: Solve for x
    x = 4,537,815,870.97/31,434.75
  6. Step 6: Final answer
    x = 144,356.67

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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.