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Finding the Third Proportional to 5,398 and 6,810

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Solution

The third proportional to 5,398 and 6,810 is: 8,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398 : 6,810 = 6,810 : x
  2. Step 2: Convert to fraction form
    5,398/6,810 = 6,810/x
  3. Step 3: Cross multiply
    5,398x = 6,810 × 6,810
  4. Step 4: Simplify right side
    5,398x = 46,376,100
  5. Step 5: Solve for x
    x = 46,376,100/5,398
  6. Step 6: Final answer
    x = 8,591.35

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.