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Finding the Third Proportional to 5,631.75 and 11,632.78

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Solution

The third proportional to 5,631.75 and 11,632.78 is: 24,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.75 : 11,632.78 = 11,632.78 : x
  2. Step 2: Convert to fraction form
    5,631.75/11,632.78 = 11,632.78/x
  3. Step 3: Cross multiply
    5,631.75x = 11,632.78 × 11,632.78
  4. Step 4: Simplify right side
    5,631.75x = 135,321,599.61
  5. Step 5: Solve for x
    x = 135,321,599.61/5,631.75
  6. Step 6: Final answer
    x = 24,028.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.