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Finding the Third Proportional to 6,631.50 and 14,538.75

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Solution

The third proportional to 6,631.50 and 14,538.75 is: 31,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.50 : 14,538.75 = 14,538.75 : x
  2. Step 2: Convert to fraction form
    6,631.50/14,538.75 = 14,538.75/x
  3. Step 3: Cross multiply
    6,631.50x = 14,538.75 × 14,538.75
  4. Step 4: Simplify right side
    6,631.50x = 211,375,251.56
  5. Step 5: Solve for x
    x = 211,375,251.56/6,631.50
  6. Step 6: Final answer
    x = 31,874.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.