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Finding the Third Proportional to 5,202 and 6,849

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Solution

The third proportional to 5,202 and 6,849 is: 9,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 6,849 = 6,849 : x
  2. Step 2: Convert to fraction form
    5,202/6,849 = 6,849/x
  3. Step 3: Cross multiply
    5,202x = 6,849 × 6,849
  4. Step 4: Simplify right side
    5,202x = 46,908,801
  5. Step 5: Solve for x
    x = 46,908,801/5,202
  6. Step 6: Final answer
    x = 9,017.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.