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Finding the Third Proportional to 31,290.05 and 35,390.67

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Solution

The third proportional to 31,290.05 and 35,390.67 is: 40,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.05 : 35,390.67 = 35,390.67 : x
  2. Step 2: Convert to fraction form
    31,290.05/35,390.67 = 35,390.67/x
  3. Step 3: Cross multiply
    31,290.05x = 35,390.67 × 35,390.67
  4. Step 4: Simplify right side
    31,290.05x = 1,252,499,655.76
  5. Step 5: Solve for x
    x = 1,252,499,655.76/31,290.05
  6. Step 6: Final answer
    x = 40,028.69

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.