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Finding the Third Proportional to 2,449 and 4,411.75

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Solution

The third proportional to 2,449 and 4,411.75 is: 7,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449 : 4,411.75 = 4,411.75 : x
  2. Step 2: Convert to fraction form
    2,449/4,411.75 = 4,411.75/x
  3. Step 3: Cross multiply
    2,449x = 4,411.75 × 4,411.75
  4. Step 4: Simplify right side
    2,449x = 19,463,538.06
  5. Step 5: Solve for x
    x = 19,463,538.06/2,449
  6. Step 6: Final answer
    x = 7,947.55

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.