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Finding the Third Proportional to 4,563 and 5,163

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Solution

The third proportional to 4,563 and 5,163 is: 5,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563 : 5,163 = 5,163 : x
  2. Step 2: Convert to fraction form
    4,563/5,163 = 5,163/x
  3. Step 3: Cross multiply
    4,563x = 5,163 × 5,163
  4. Step 4: Simplify right side
    4,563x = 26,656,569
  5. Step 5: Solve for x
    x = 26,656,569/4,563
  6. Step 6: Final answer
    x = 5,841.90

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.