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Finding the Third Proportional to 17,052 and 39,628

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Solution

The third proportional to 17,052 and 39,628 is: 92,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,052 : 39,628 = 39,628 : x
  2. Step 2: Convert to fraction form
    17,052/39,628 = 39,628/x
  3. Step 3: Cross multiply
    17,052x = 39,628 × 39,628
  4. Step 4: Simplify right side
    17,052x = 1,570,378,384
  5. Step 5: Solve for x
    x = 1,570,378,384/17,052
  6. Step 6: Final answer
    x = 92,093.50

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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.