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Finding the Third Proportional to 768 and 1,454

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Solution

The third proportional to 768 and 1,454 is: 2,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,454 = 1,454 : x
  2. Step 2: Convert to fraction form
    768/1,454 = 1,454/x
  3. Step 3: Cross multiply
    768x = 1,454 × 1,454
  4. Step 4: Simplify right side
    768x = 2,114,116
  5. Step 5: Solve for x
    x = 2,114,116/768
  6. Step 6: Final answer
    x = 2,752.76

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.