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Finding the Third Proportional to 31,803.38 and 69,074.25

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Solution

The third proportional to 31,803.38 and 69,074.25 is: 150,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.38 : 69,074.25 = 69,074.25 : x
  2. Step 2: Convert to fraction form
    31,803.38/69,074.25 = 69,074.25/x
  3. Step 3: Cross multiply
    31,803.38x = 69,074.25 × 69,074.25
  4. Step 4: Simplify right side
    31,803.38x = 4,771,252,013.06
  5. Step 5: Solve for x
    x = 4,771,252,013.06/31,803.38
  6. Step 6: Final answer
    x = 150,023.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.