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Finding the Third Proportional to 39,829.22 and 60,784.17

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Solution

The third proportional to 39,829.22 and 60,784.17 is: 92,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,829.22 : 60,784.17 = 60,784.17 : x
  2. Step 2: Convert to fraction form
    39,829.22/60,784.17 = 60,784.17/x
  3. Step 3: Cross multiply
    39,829.22x = 60,784.17 × 60,784.17
  4. Step 4: Simplify right side
    39,829.22x = 3,694,715,550.53
  5. Step 5: Solve for x
    x = 3,694,715,550.53/39,829.22
  6. Step 6: Final answer
    x = 92,763.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.