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Finding the Third Proportional to 10,039 and 23,243

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Solution

The third proportional to 10,039 and 23,243 is: 53,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039 : 23,243 = 23,243 : x
  2. Step 2: Convert to fraction form
    10,039/23,243 = 23,243/x
  3. Step 3: Cross multiply
    10,039x = 23,243 × 23,243
  4. Step 4: Simplify right side
    10,039x = 540,237,049
  5. Step 5: Solve for x
    x = 540,237,049/10,039
  6. Step 6: Final answer
    x = 53,813.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.