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Finding the Third Proportional to 31,069.50 and 67,656

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Solution

The third proportional to 31,069.50 and 67,656 is: 147,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.50 : 67,656 = 67,656 : x
  2. Step 2: Convert to fraction form
    31,069.50/67,656 = 67,656/x
  3. Step 3: Cross multiply
    31,069.50x = 67,656 × 67,656
  4. Step 4: Simplify right side
    31,069.50x = 4,577,334,336
  5. Step 5: Solve for x
    x = 4,577,334,336/31,069.50
  6. Step 6: Final answer
    x = 147,325.65

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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.