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Finding the Third Proportional to 2,304 and 2,708

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Solution

The third proportional to 2,304 and 2,708 is: 3,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304 : 2,708 = 2,708 : x
  2. Step 2: Convert to fraction form
    2,304/2,708 = 2,708/x
  3. Step 3: Cross multiply
    2,304x = 2,708 × 2,708
  4. Step 4: Simplify right side
    2,304x = 7,333,264
  5. Step 5: Solve for x
    x = 7,333,264/2,304
  6. Step 6: Final answer
    x = 3,182.84

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.