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Finding the Third Proportional to 2,839.22 and 4,358.18

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Solution

The third proportional to 2,839.22 and 4,358.18 is: 6,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.22 : 4,358.18 = 4,358.18 : x
  2. Step 2: Convert to fraction form
    2,839.22/4,358.18 = 4,358.18/x
  3. Step 3: Cross multiply
    2,839.22x = 4,358.18 × 4,358.18
  4. Step 4: Simplify right side
    2,839.22x = 18,993,730.19
  5. Step 5: Solve for x
    x = 18,993,730.19/2,839.22
  6. Step 6: Final answer
    x = 6,689.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.