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Finding the Third Proportional to 9,493.98 and 20,774.81

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Solution

The third proportional to 9,493.98 and 20,774.81 is: 45,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.98 : 20,774.81 = 20,774.81 : x
  2. Step 2: Convert to fraction form
    9,493.98/20,774.81 = 20,774.81/x
  3. Step 3: Cross multiply
    9,493.98x = 20,774.81 × 20,774.81
  4. Step 4: Simplify right side
    9,493.98x = 431,592,834.41
  5. Step 5: Solve for x
    x = 431,592,834.41/9,493.98
  6. Step 6: Final answer
    x = 45,459.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.