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Finding the Third Proportional to 31,943.53 and 70,311.38

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Solution

The third proportional to 31,943.53 and 70,311.38 is: 154,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943.53 : 70,311.38 = 70,311.38 : x
  2. Step 2: Convert to fraction form
    31,943.53/70,311.38 = 70,311.38/x
  3. Step 3: Cross multiply
    31,943.53x = 70,311.38 × 70,311.38
  4. Step 4: Simplify right side
    31,943.53x = 4,943,689,454.39
  5. Step 5: Solve for x
    x = 4,943,689,454.39/31,943.53
  6. Step 6: Final answer
    x = 154,763.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.