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Finding the Third Proportional to 9,249.19 and 19,729.83

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Solution

The third proportional to 9,249.19 and 19,729.83 is: 42,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.19 : 19,729.83 = 19,729.83 : x
  2. Step 2: Convert to fraction form
    9,249.19/19,729.83 = 19,729.83/x
  3. Step 3: Cross multiply
    9,249.19x = 19,729.83 × 19,729.83
  4. Step 4: Simplify right side
    9,249.19x = 389,266,117.84
  5. Step 5: Solve for x
    x = 389,266,117.84/9,249.19
  6. Step 6: Final answer
    x = 42,086.52

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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.