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Finding the Third Proportional to 1,786 and 2,304

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Solution

The third proportional to 1,786 and 2,304 is: 2,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,304 = 2,304 : x
  2. Step 2: Convert to fraction form
    1,786/2,304 = 2,304/x
  3. Step 3: Cross multiply
    1,786x = 2,304 × 2,304
  4. Step 4: Simplify right side
    1,786x = 5,308,416
  5. Step 5: Solve for x
    x = 5,308,416/1,786
  6. Step 6: Final answer
    x = 2,972.24

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.