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Finding the Third Proportional to 2,240.58 and 4,869.84

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Solution

The third proportional to 2,240.58 and 4,869.84 is: 10,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.58 : 4,869.84 = 4,869.84 : x
  2. Step 2: Convert to fraction form
    2,240.58/4,869.84 = 4,869.84/x
  3. Step 3: Cross multiply
    2,240.58x = 4,869.84 × 4,869.84
  4. Step 4: Simplify right side
    2,240.58x = 23,715,378.15
  5. Step 5: Solve for x
    x = 23,715,378.15/2,240.58
  6. Step 6: Final answer
    x = 10,584.49

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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.