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Finding the Third Proportional to 9,499.68 and 20,671.56

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Solution

The third proportional to 9,499.68 and 20,671.56 is: 44,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.68 : 20,671.56 = 20,671.56 : x
  2. Step 2: Convert to fraction form
    9,499.68/20,671.56 = 20,671.56/x
  3. Step 3: Cross multiply
    9,499.68x = 20,671.56 × 20,671.56
  4. Step 4: Simplify right side
    9,499.68x = 427,313,334.69
  5. Step 5: Solve for x
    x = 427,313,334.69/9,499.68
  6. Step 6: Final answer
    x = 44,981.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.