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Finding the Third Proportional to 2,269.13 and 4,866.75

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Solution

The third proportional to 2,269.13 and 4,866.75 is: 10,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.13 : 4,866.75 = 4,866.75 : x
  2. Step 2: Convert to fraction form
    2,269.13/4,866.75 = 4,866.75/x
  3. Step 3: Cross multiply
    2,269.13x = 4,866.75 × 4,866.75
  4. Step 4: Simplify right side
    2,269.13x = 23,685,255.56
  5. Step 5: Solve for x
    x = 23,685,255.56/2,269.13
  6. Step 6: Final answer
    x = 10,438.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.