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Finding the Third Proportional to 36,117.25 and 77,792.75

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Solution

The third proportional to 36,117.25 and 77,792.75 is: 167,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117.25 : 77,792.75 = 77,792.75 : x
  2. Step 2: Convert to fraction form
    36,117.25/77,792.75 = 77,792.75/x
  3. Step 3: Cross multiply
    36,117.25x = 77,792.75 × 77,792.75
  4. Step 4: Simplify right side
    36,117.25x = 6,051,711,952.56
  5. Step 5: Solve for x
    x = 6,051,711,952.56/36,117.25
  6. Step 6: Final answer
    x = 167,557.38

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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.