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Finding the Third Proportional to 31,468.50 and 34,111.13

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Solution

The third proportional to 31,468.50 and 34,111.13 is: 36,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.50 : 34,111.13 = 34,111.13 : x
  2. Step 2: Convert to fraction form
    31,468.50/34,111.13 = 34,111.13/x
  3. Step 3: Cross multiply
    31,468.50x = 34,111.13 × 34,111.13
  4. Step 4: Simplify right side
    31,468.50x = 1,163,568,848.77
  5. Step 5: Solve for x
    x = 1,163,568,848.77/31,468.50
  6. Step 6: Final answer
    x = 36,975.67

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.