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Finding the Third Proportional to 9,633 and 20,494.50

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Solution

The third proportional to 9,633 and 20,494.50 is: 43,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633 : 20,494.50 = 20,494.50 : x
  2. Step 2: Convert to fraction form
    9,633/20,494.50 = 20,494.50/x
  3. Step 3: Cross multiply
    9,633x = 20,494.50 × 20,494.50
  4. Step 4: Simplify right side
    9,633x = 420,024,530.25
  5. Step 5: Solve for x
    x = 420,024,530.25/9,633
  6. Step 6: Final answer
    x = 43,602.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.