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Finding the Third Proportional to 10,083.38 and 21,934.69

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Solution

The third proportional to 10,083.38 and 21,934.69 is: 47,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.38 : 21,934.69 = 21,934.69 : x
  2. Step 2: Convert to fraction form
    10,083.38/21,934.69 = 21,934.69/x
  3. Step 3: Cross multiply
    10,083.38x = 21,934.69 × 21,934.69
  4. Step 4: Simplify right side
    10,083.38x = 481,130,515.72
  5. Step 5: Solve for x
    x = 481,130,515.72/10,083.38
  6. Step 6: Final answer
    x = 47,715.23

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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.