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Finding the Third Proportional to 30,891.38 and 67,478.06

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Solution

The third proportional to 30,891.38 and 67,478.06 is: 147,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.38 : 67,478.06 = 67,478.06 : x
  2. Step 2: Convert to fraction form
    30,891.38/67,478.06 = 67,478.06/x
  3. Step 3: Cross multiply
    30,891.38x = 67,478.06 × 67,478.06
  4. Step 4: Simplify right side
    30,891.38x = 4,553,288,918.75
  5. Step 5: Solve for x
    x = 4,553,288,918.75/30,891.38
  6. Step 6: Final answer
    x = 147,396.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.