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Finding the Third Proportional to 2,239.50 and 4,867.69

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Solution

The third proportional to 2,239.50 and 4,867.69 is: 10,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.50 : 4,867.69 = 4,867.69 : x
  2. Step 2: Convert to fraction form
    2,239.50/4,867.69 = 4,867.69/x
  3. Step 3: Cross multiply
    2,239.50x = 4,867.69 × 4,867.69
  4. Step 4: Simplify right side
    2,239.50x = 23,694,381.60
  5. Step 5: Solve for x
    x = 23,694,381.60/2,239.50
  6. Step 6: Final answer
    x = 10,580.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.