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Finding the Third Proportional to 10,717.31 and 23,223.38

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Solution

The third proportional to 10,717.31 and 23,223.38 is: 50,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.31 : 23,223.38 = 23,223.38 : x
  2. Step 2: Convert to fraction form
    10,717.31/23,223.38 = 23,223.38/x
  3. Step 3: Cross multiply
    10,717.31x = 23,223.38 × 23,223.38
  4. Step 4: Simplify right side
    10,717.31x = 539,325,146.39
  5. Step 5: Solve for x
    x = 539,325,146.39/10,717.31
  6. Step 6: Final answer
    x = 50,322.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.