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Finding the Third Proportional to 31,462.88 and 61,331.63

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Solution

The third proportional to 31,462.88 and 61,331.63 is: 119,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.88 : 61,331.63 = 61,331.63 : x
  2. Step 2: Convert to fraction form
    31,462.88/61,331.63 = 61,331.63/x
  3. Step 3: Cross multiply
    31,462.88x = 61,331.63 × 61,331.63
  4. Step 4: Simplify right side
    31,462.88x = 3,761,568,225.14
  5. Step 5: Solve for x
    x = 3,761,568,225.14/31,462.88
  6. Step 6: Final answer
    x = 119,555.77

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.