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Finding the Third Proportional to 4,817 and 5,321

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Solution

The third proportional to 4,817 and 5,321 is: 5,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817 : 5,321 = 5,321 : x
  2. Step 2: Convert to fraction form
    4,817/5,321 = 5,321/x
  3. Step 3: Cross multiply
    4,817x = 5,321 × 5,321
  4. Step 4: Simplify right side
    4,817x = 28,313,041
  5. Step 5: Solve for x
    x = 28,313,041/4,817
  6. Step 6: Final answer
    x = 5,877.73

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.