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Finding the Third Proportional to 3,528.56 and 5,281.88

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Solution

The third proportional to 3,528.56 and 5,281.88 is: 7,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.56 : 5,281.88 = 5,281.88 : x
  2. Step 2: Convert to fraction form
    3,528.56/5,281.88 = 5,281.88/x
  3. Step 3: Cross multiply
    3,528.56x = 5,281.88 × 5,281.88
  4. Step 4: Simplify right side
    3,528.56x = 27,898,203.52
  5. Step 5: Solve for x
    x = 27,898,203.52/3,528.56
  6. Step 6: Final answer
    x = 7,906.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.