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Finding the Third Proportional to 2,153.25 and 3,331.50

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Solution

The third proportional to 2,153.25 and 3,331.50 is: 5,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.25 : 3,331.50 = 3,331.50 : x
  2. Step 2: Convert to fraction form
    2,153.25/3,331.50 = 3,331.50/x
  3. Step 3: Cross multiply
    2,153.25x = 3,331.50 × 3,331.50
  4. Step 4: Simplify right side
    2,153.25x = 11,098,892.25
  5. Step 5: Solve for x
    x = 11,098,892.25/2,153.25
  6. Step 6: Final answer
    x = 5,154.48

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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.