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Finding the Third Proportional to 17,102 and 36,637

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Solution

The third proportional to 17,102 and 36,637 is: 78,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102 : 36,637 = 36,637 : x
  2. Step 2: Convert to fraction form
    17,102/36,637 = 36,637/x
  3. Step 3: Cross multiply
    17,102x = 36,637 × 36,637
  4. Step 4: Simplify right side
    17,102x = 1,342,269,769
  5. Step 5: Solve for x
    x = 1,342,269,769/17,102
  6. Step 6: Final answer
    x = 78,486.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.