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Finding the Third Proportional to 17,180.25 and 36,902.25

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Solution

The third proportional to 17,180.25 and 36,902.25 is: 79,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.25 : 36,902.25 = 36,902.25 : x
  2. Step 2: Convert to fraction form
    17,180.25/36,902.25 = 36,902.25/x
  3. Step 3: Cross multiply
    17,180.25x = 36,902.25 × 36,902.25
  4. Step 4: Simplify right side
    17,180.25x = 1,361,776,055.06
  5. Step 5: Solve for x
    x = 1,361,776,055.06/17,180.25
  6. Step 6: Final answer
    x = 79,264.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.