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Finding the Third Proportional to 10,761.19 and 23,171.06

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Solution

The third proportional to 10,761.19 and 23,171.06 is: 49,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.19 : 23,171.06 = 23,171.06 : x
  2. Step 2: Convert to fraction form
    10,761.19/23,171.06 = 23,171.06/x
  3. Step 3: Cross multiply
    10,761.19x = 23,171.06 × 23,171.06
  4. Step 4: Simplify right side
    10,761.19x = 536,898,137.38
  5. Step 5: Solve for x
    x = 536,898,137.38/10,761.19
  6. Step 6: Final answer
    x = 49,892.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.