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Finding the Third Proportional to 10,006.13 and 23,162.44

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Solution

The third proportional to 10,006.13 and 23,162.44 is: 53,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.13 : 23,162.44 = 23,162.44 : x
  2. Step 2: Convert to fraction form
    10,006.13/23,162.44 = 23,162.44/x
  3. Step 3: Cross multiply
    10,006.13x = 23,162.44 × 23,162.44
  4. Step 4: Simplify right side
    10,006.13x = 536,498,510.94
  5. Step 5: Solve for x
    x = 536,498,510.94/10,006.13
  6. Step 6: Final answer
    x = 53,617.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.