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Finding the Third Proportional to 17,969 and 39,468

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Solution

The third proportional to 17,969 and 39,468 is: 86,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 39,468 = 39,468 : x
  2. Step 2: Convert to fraction form
    17,969/39,468 = 39,468/x
  3. Step 3: Cross multiply
    17,969x = 39,468 × 39,468
  4. Step 4: Simplify right side
    17,969x = 1,557,723,024
  5. Step 5: Solve for x
    x = 1,557,723,024/17,969
  6. Step 6: Final answer
    x = 86,689.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.