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Finding the Third Proportional to 9,243.56 and 19,243.13

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Solution

The third proportional to 9,243.56 and 19,243.13 is: 40,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.56 : 19,243.13 = 19,243.13 : x
  2. Step 2: Convert to fraction form
    9,243.56/19,243.13 = 19,243.13/x
  3. Step 3: Cross multiply
    9,243.56x = 19,243.13 × 19,243.13
  4. Step 4: Simplify right side
    9,243.56x = 370,297,859.77
  5. Step 5: Solve for x
    x = 370,297,859.77/9,243.56
  6. Step 6: Final answer
    x = 40,060.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.