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Finding the Third Proportional to 31,762.41 and 69,060.38

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Solution

The third proportional to 31,762.41 and 69,060.38 is: 150,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.41 : 69,060.38 = 69,060.38 : x
  2. Step 2: Convert to fraction form
    31,762.41/69,060.38 = 69,060.38/x
  3. Step 3: Cross multiply
    31,762.41x = 69,060.38 × 69,060.38
  4. Step 4: Simplify right side
    31,762.41x = 4,769,335,395.14
  5. Step 5: Solve for x
    x = 4,769,335,395.14/31,762.41
  6. Step 6: Final answer
    x = 150,156.61

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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.