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Finding the Third Proportional to 9,377.44 and 19,971.56

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Solution

The third proportional to 9,377.44 and 19,971.56 is: 42,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.44 : 19,971.56 = 19,971.56 : x
  2. Step 2: Convert to fraction form
    9,377.44/19,971.56 = 19,971.56/x
  3. Step 3: Cross multiply
    9,377.44x = 19,971.56 × 19,971.56
  4. Step 4: Simplify right side
    9,377.44x = 398,863,308.69
  5. Step 5: Solve for x
    x = 398,863,308.69/9,377.44
  6. Step 6: Final answer
    x = 42,534.36

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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.