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Finding the Third Proportional to 2,113.88 and 3,162.38

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Solution

The third proportional to 2,113.88 and 3,162.38 is: 4,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.88 : 3,162.38 = 3,162.38 : x
  2. Step 2: Convert to fraction form
    2,113.88/3,162.38 = 3,162.38/x
  3. Step 3: Cross multiply
    2,113.88x = 3,162.38 × 3,162.38
  4. Step 4: Simplify right side
    2,113.88x = 10,000,615.64
  5. Step 5: Solve for x
    x = 10,000,615.64/2,113.88
  6. Step 6: Final answer
    x = 4,730.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.