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Finding the Third Proportional to 4,341 and 6,597

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Solution

The third proportional to 4,341 and 6,597 is: 10,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341 : 6,597 = 6,597 : x
  2. Step 2: Convert to fraction form
    4,341/6,597 = 6,597/x
  3. Step 3: Cross multiply
    4,341x = 6,597 × 6,597
  4. Step 4: Simplify right side
    4,341x = 43,520,409
  5. Step 5: Solve for x
    x = 43,520,409/4,341
  6. Step 6: Final answer
    x = 10,025.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.