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Finding the Third Proportional to 10,786.92 and 23,122.97

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Solution

The third proportional to 10,786.92 and 23,122.97 is: 49,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.92 : 23,122.97 = 23,122.97 : x
  2. Step 2: Convert to fraction form
    10,786.92/23,122.97 = 23,122.97/x
  3. Step 3: Cross multiply
    10,786.92x = 23,122.97 × 23,122.97
  4. Step 4: Simplify right side
    10,786.92x = 534,671,683.81
  5. Step 5: Solve for x
    x = 534,671,683.81/10,786.92
  6. Step 6: Final answer
    x = 49,566.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.