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Finding the Third Proportional to 17,026 and 39,566

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Solution

The third proportional to 17,026 and 39,566 is: 91,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026 : 39,566 = 39,566 : x
  2. Step 2: Convert to fraction form
    17,026/39,566 = 39,566/x
  3. Step 3: Cross multiply
    17,026x = 39,566 × 39,566
  4. Step 4: Simplify right side
    17,026x = 1,565,468,356
  5. Step 5: Solve for x
    x = 1,565,468,356/17,026
  6. Step 6: Final answer
    x = 91,945.75

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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.