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Finding the Third Proportional to 17,969 and 39,394

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Solution

The third proportional to 17,969 and 39,394 is: 86,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 39,394 = 39,394 : x
  2. Step 2: Convert to fraction form
    17,969/39,394 = 39,394/x
  3. Step 3: Cross multiply
    17,969x = 39,394 × 39,394
  4. Step 4: Simplify right side
    17,969x = 1,551,887,236
  5. Step 5: Solve for x
    x = 1,551,887,236/17,969
  6. Step 6: Final answer
    x = 86,364.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.