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Finding the Third Proportional to 3,580 and 4,530

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Solution

The third proportional to 3,580 and 4,530 is: 5,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 4,530 = 4,530 : x
  2. Step 2: Convert to fraction form
    3,580/4,530 = 4,530/x
  3. Step 3: Cross multiply
    3,580x = 4,530 × 4,530
  4. Step 4: Simplify right side
    3,580x = 20,520,900
  5. Step 5: Solve for x
    x = 20,520,900/3,580
  6. Step 6: Final answer
    x = 5,732.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.