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Finding the Third Proportional to 9,801 and 21,768.75

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Solution

The third proportional to 9,801 and 21,768.75 is: 48,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 21,768.75 = 21,768.75 : x
  2. Step 2: Convert to fraction form
    9,801/21,768.75 = 21,768.75/x
  3. Step 3: Cross multiply
    9,801x = 21,768.75 × 21,768.75
  4. Step 4: Simplify right side
    9,801x = 473,878,476.56
  5. Step 5: Solve for x
    x = 473,878,476.56/9,801
  6. Step 6: Final answer
    x = 48,350.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.