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Finding the Third Proportional to 2,251.69 and 4,899.94

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Solution

The third proportional to 2,251.69 and 4,899.94 is: 10,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.69 : 4,899.94 = 4,899.94 : x
  2. Step 2: Convert to fraction form
    2,251.69/4,899.94 = 4,899.94/x
  3. Step 3: Cross multiply
    2,251.69x = 4,899.94 × 4,899.94
  4. Step 4: Simplify right side
    2,251.69x = 24,009,387.50
  5. Step 5: Solve for x
    x = 24,009,387.50/2,251.69
  6. Step 6: Final answer
    x = 10,662.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.