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Finding the Third Proportional to 9,386.13 and 20,321.38

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Solution

The third proportional to 9,386.13 and 20,321.38 is: 43,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.13 : 20,321.38 = 20,321.38 : x
  2. Step 2: Convert to fraction form
    9,386.13/20,321.38 = 20,321.38/x
  3. Step 3: Cross multiply
    9,386.13x = 20,321.38 × 20,321.38
  4. Step 4: Simplify right side
    9,386.13x = 412,958,281.89
  5. Step 5: Solve for x
    x = 412,958,281.89/9,386.13
  6. Step 6: Final answer
    x = 43,996.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.