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Finding the Third Proportional to 3,261 and 5,353.50

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Solution

The third proportional to 3,261 and 5,353.50 is: 8,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261 : 5,353.50 = 5,353.50 : x
  2. Step 2: Convert to fraction form
    3,261/5,353.50 = 5,353.50/x
  3. Step 3: Cross multiply
    3,261x = 5,353.50 × 5,353.50
  4. Step 4: Simplify right side
    3,261x = 28,659,962.25
  5. Step 5: Solve for x
    x = 28,659,962.25/3,261
  6. Step 6: Final answer
    x = 8,788.70

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.