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Finding the Third Proportional to 9,334.62 and 20,154.76

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Solution

The third proportional to 9,334.62 and 20,154.76 is: 43,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.62 : 20,154.76 = 20,154.76 : x
  2. Step 2: Convert to fraction form
    9,334.62/20,154.76 = 20,154.76/x
  3. Step 3: Cross multiply
    9,334.62x = 20,154.76 × 20,154.76
  4. Step 4: Simplify right side
    9,334.62x = 406,214,419.94
  5. Step 5: Solve for x
    x = 406,214,419.94/9,334.62
  6. Step 6: Final answer
    x = 43,516.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.