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Finding the Third Proportional to 2,709 and 4,563

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Solution

The third proportional to 2,709 and 4,563 is: 7,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 4,563 = 4,563 : x
  2. Step 2: Convert to fraction form
    2,709/4,563 = 4,563/x
  3. Step 3: Cross multiply
    2,709x = 4,563 × 4,563
  4. Step 4: Simplify right side
    2,709x = 20,820,969
  5. Step 5: Solve for x
    x = 20,820,969/2,709
  6. Step 6: Final answer
    x = 7,685.85

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.