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Finding the Third Proportional to 9,912 and 23,061

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Solution

The third proportional to 9,912 and 23,061 is: 53,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912 : 23,061 = 23,061 : x
  2. Step 2: Convert to fraction form
    9,912/23,061 = 23,061/x
  3. Step 3: Cross multiply
    9,912x = 23,061 × 23,061
  4. Step 4: Simplify right side
    9,912x = 531,809,721
  5. Step 5: Solve for x
    x = 531,809,721/9,912
  6. Step 6: Final answer
    x = 53,653.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.