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Finding the Third Proportional to 1,299 and 3,048

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Solution

The third proportional to 1,299 and 3,048 is: 7,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299 : 3,048 = 3,048 : x
  2. Step 2: Convert to fraction form
    1,299/3,048 = 3,048/x
  3. Step 3: Cross multiply
    1,299x = 3,048 × 3,048
  4. Step 4: Simplify right side
    1,299x = 9,290,304
  5. Step 5: Solve for x
    x = 9,290,304/1,299
  6. Step 6: Final answer
    x = 7,151.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.