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Finding the Third Proportional to 2,117.81 and 3,218.91

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Solution

The third proportional to 2,117.81 and 3,218.91 is: 4,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.81 : 3,218.91 = 3,218.91 : x
  2. Step 2: Convert to fraction form
    2,117.81/3,218.91 = 3,218.91/x
  3. Step 3: Cross multiply
    2,117.81x = 3,218.91 × 3,218.91
  4. Step 4: Simplify right side
    2,117.81x = 10,361,357.45
  5. Step 5: Solve for x
    x = 10,361,357.45/2,117.81
  6. Step 6: Final answer
    x = 4,892.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.