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Finding the Third Proportional to 17,100 and 36,633

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Solution

The third proportional to 17,100 and 36,633 is: 78,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 36,633 = 36,633 : x
  2. Step 2: Convert to fraction form
    17,100/36,633 = 36,633/x
  3. Step 3: Cross multiply
    17,100x = 36,633 × 36,633
  4. Step 4: Simplify right side
    17,100x = 1,341,976,689
  5. Step 5: Solve for x
    x = 1,341,976,689/17,100
  6. Step 6: Final answer
    x = 78,478.17

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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.