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Finding the Third Proportional to 4,212 and 4,563

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Solution

The third proportional to 4,212 and 4,563 is: 4,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 4,563 = 4,563 : x
  2. Step 2: Convert to fraction form
    4,212/4,563 = 4,563/x
  3. Step 3: Cross multiply
    4,212x = 4,563 × 4,563
  4. Step 4: Simplify right side
    4,212x = 20,820,969
  5. Step 5: Solve for x
    x = 20,820,969/4,212
  6. Step 6: Final answer
    x = 4,943.25

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.