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Finding the Third Proportional to 30,689.25 and 67,233.75

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Solution

The third proportional to 30,689.25 and 67,233.75 is: 147,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.25 : 67,233.75 = 67,233.75 : x
  2. Step 2: Convert to fraction form
    30,689.25/67,233.75 = 67,233.75/x
  3. Step 3: Cross multiply
    30,689.25x = 67,233.75 × 67,233.75
  4. Step 4: Simplify right side
    30,689.25x = 4,520,377,139.06
  5. Step 5: Solve for x
    x = 4,520,377,139.06/30,689.25
  6. Step 6: Final answer
    x = 147,295.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.