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Finding the Third Proportional to 31,711.50 and 69,366.38

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Solution

The third proportional to 31,711.50 and 69,366.38 is: 151,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.50 : 69,366.38 = 69,366.38 : x
  2. Step 2: Convert to fraction form
    31,711.50/69,366.38 = 69,366.38/x
  3. Step 3: Cross multiply
    31,711.50x = 69,366.38 × 69,366.38
  4. Step 4: Simplify right side
    31,711.50x = 4,811,693,980.64
  5. Step 5: Solve for x
    x = 4,811,693,980.64/31,711.50
  6. Step 6: Final answer
    x = 151,733.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.