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Finding the Third Proportional to 3,230 and 4,597

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Solution

The third proportional to 3,230 and 4,597 is: 6,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230 : 4,597 = 4,597 : x
  2. Step 2: Convert to fraction form
    3,230/4,597 = 4,597/x
  3. Step 3: Cross multiply
    3,230x = 4,597 × 4,597
  4. Step 4: Simplify right side
    3,230x = 21,132,409
  5. Step 5: Solve for x
    x = 21,132,409/3,230
  6. Step 6: Final answer
    x = 6,542.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.