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Finding the Third Proportional to 1,038.87 and 2,240.79

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Solution

The third proportional to 1,038.87 and 2,240.79 is: 4,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.87 : 2,240.79 = 2,240.79 : x
  2. Step 2: Convert to fraction form
    1,038.87/2,240.79 = 2,240.79/x
  3. Step 3: Cross multiply
    1,038.87x = 2,240.79 × 2,240.79
  4. Step 4: Simplify right side
    1,038.87x = 5,021,135.62
  5. Step 5: Solve for x
    x = 5,021,135.62/1,038.87
  6. Step 6: Final answer
    x = 4,833.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.