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Finding the Third Proportional to 3,459 and 5,364.75

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Solution

The third proportional to 3,459 and 5,364.75 is: 8,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 5,364.75 = 5,364.75 : x
  2. Step 2: Convert to fraction form
    3,459/5,364.75 = 5,364.75/x
  3. Step 3: Cross multiply
    3,459x = 5,364.75 × 5,364.75
  4. Step 4: Simplify right side
    3,459x = 28,780,542.56
  5. Step 5: Solve for x
    x = 28,780,542.56/3,459
  6. Step 6: Final answer
    x = 8,320.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.