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Finding the Third Proportional to 9,908.44 and 21,654.56

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Solution

The third proportional to 9,908.44 and 21,654.56 is: 47,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.44 : 21,654.56 = 21,654.56 : x
  2. Step 2: Convert to fraction form
    9,908.44/21,654.56 = 21,654.56/x
  3. Step 3: Cross multiply
    9,908.44x = 21,654.56 × 21,654.56
  4. Step 4: Simplify right side
    9,908.44x = 468,920,077.07
  5. Step 5: Solve for x
    x = 468,920,077.07/9,908.44
  6. Step 6: Final answer
    x = 47,325.33

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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.