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Finding the Third Proportional to 9,793.97 and 21,146.53

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Solution

The third proportional to 9,793.97 and 21,146.53 is: 45,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.97 : 21,146.53 = 21,146.53 : x
  2. Step 2: Convert to fraction form
    9,793.97/21,146.53 = 21,146.53/x
  3. Step 3: Cross multiply
    9,793.97x = 21,146.53 × 21,146.53
  4. Step 4: Simplify right side
    9,793.97x = 447,175,783.91
  5. Step 5: Solve for x
    x = 447,175,783.91/9,793.97
  6. Step 6: Final answer
    x = 45,658.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.