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Finding the Third Proportional to 10,839.38 and 23,643.38

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Solution

The third proportional to 10,839.38 and 23,643.38 is: 51,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.38 : 23,643.38 = 23,643.38 : x
  2. Step 2: Convert to fraction form
    10,839.38/23,643.38 = 23,643.38/x
  3. Step 3: Cross multiply
    10,839.38x = 23,643.38 × 23,643.38
  4. Step 4: Simplify right side
    10,839.38x = 559,009,181.39
  5. Step 5: Solve for x
    x = 559,009,181.39/10,839.38
  6. Step 6: Final answer
    x = 51,572.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.