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Finding the Third Proportional to 4,232.50 and 6,538.75

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Solution

The third proportional to 4,232.50 and 6,538.75 is: 10,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.50 : 6,538.75 = 6,538.75 : x
  2. Step 2: Convert to fraction form
    4,232.50/6,538.75 = 6,538.75/x
  3. Step 3: Cross multiply
    4,232.50x = 6,538.75 × 6,538.75
  4. Step 4: Simplify right side
    4,232.50x = 42,755,251.56
  5. Step 5: Solve for x
    x = 42,755,251.56/4,232.50
  6. Step 6: Final answer
    x = 10,101.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.