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Finding the Third Proportional to 67,870 and 74,022.50

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Solution

The third proportional to 67,870 and 74,022.50 is: 80,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870 : 74,022.50 = 74,022.50 : x
  2. Step 2: Convert to fraction form
    67,870/74,022.50 = 74,022.50/x
  3. Step 3: Cross multiply
    67,870x = 74,022.50 × 74,022.50
  4. Step 4: Simplify right side
    67,870x = 5,479,330,506.25
  5. Step 5: Solve for x
    x = 5,479,330,506.25/67,870
  6. Step 6: Final answer
    x = 80,732.73

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.