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Finding the Third Proportional to 9,801 and 23,133

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Solution

The third proportional to 9,801 and 23,133 is: 54,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 23,133 = 23,133 : x
  2. Step 2: Convert to fraction form
    9,801/23,133 = 23,133/x
  3. Step 3: Cross multiply
    9,801x = 23,133 × 23,133
  4. Step 4: Simplify right side
    9,801x = 535,135,689
  5. Step 5: Solve for x
    x = 535,135,689/9,801
  6. Step 6: Final answer
    x = 54,600.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.