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Finding the Third Proportional to 67,880.25 and 74,031.75

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Solution

The third proportional to 67,880.25 and 74,031.75 is: 80,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,880.25 : 74,031.75 = 74,031.75 : x
  2. Step 2: Convert to fraction form
    67,880.25/74,031.75 = 74,031.75/x
  3. Step 3: Cross multiply
    67,880.25x = 74,031.75 × 74,031.75
  4. Step 4: Simplify right side
    67,880.25x = 5,480,700,008.06
  5. Step 5: Solve for x
    x = 5,480,700,008.06/67,880.25
  6. Step 6: Final answer
    x = 80,740.72

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