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Finding the Third Proportional to 50,805 and 68,533.50

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Solution

The third proportional to 50,805 and 68,533.50 is: 92,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805 : 68,533.50 = 68,533.50 : x
  2. Step 2: Convert to fraction form
    50,805/68,533.50 = 68,533.50/x
  3. Step 3: Cross multiply
    50,805x = 68,533.50 × 68,533.50
  4. Step 4: Simplify right side
    50,805x = 4,696,840,622.25
  5. Step 5: Solve for x
    x = 4,696,840,622.25/50,805
  6. Step 6: Final answer
    x = 92,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.