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Finding the Third Proportional to 2,161.69 and 4,337.30

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Solution

The third proportional to 2,161.69 and 4,337.30 is: 8,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.69 : 4,337.30 = 4,337.30 : x
  2. Step 2: Convert to fraction form
    2,161.69/4,337.30 = 4,337.30/x
  3. Step 3: Cross multiply
    2,161.69x = 4,337.30 × 4,337.30
  4. Step 4: Simplify right side
    2,161.69x = 18,812,144.18
  5. Step 5: Solve for x
    x = 18,812,144.18/2,161.69
  6. Step 6: Final answer
    x = 8,702.53

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.