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Finding the Third Proportional to 2,449 and 4,988

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Solution

The third proportional to 2,449 and 4,988 is: 10,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449 : 4,988 = 4,988 : x
  2. Step 2: Convert to fraction form
    2,449/4,988 = 4,988/x
  3. Step 3: Cross multiply
    2,449x = 4,988 × 4,988
  4. Step 4: Simplify right side
    2,449x = 24,880,144
  5. Step 5: Solve for x
    x = 24,880,144/2,449
  6. Step 6: Final answer
    x = 10,159.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.