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Finding the Third Proportional to 4,357.50 and 6,002.25

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Solution

The third proportional to 4,357.50 and 6,002.25 is: 8,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.50 : 6,002.25 = 6,002.25 : x
  2. Step 2: Convert to fraction form
    4,357.50/6,002.25 = 6,002.25/x
  3. Step 3: Cross multiply
    4,357.50x = 6,002.25 × 6,002.25
  4. Step 4: Simplify right side
    4,357.50x = 36,027,005.06
  5. Step 5: Solve for x
    x = 36,027,005.06/4,357.50
  6. Step 6: Final answer
    x = 8,267.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.