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Finding the Third Proportional to 33,907.50 and 68,737.50

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Solution

The third proportional to 33,907.50 and 68,737.50 is: 139,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907.50 : 68,737.50 = 68,737.50 : x
  2. Step 2: Convert to fraction form
    33,907.50/68,737.50 = 68,737.50/x
  3. Step 3: Cross multiply
    33,907.50x = 68,737.50 × 68,737.50
  4. Step 4: Simplify right side
    33,907.50x = 4,724,843,906.25
  5. Step 5: Solve for x
    x = 4,724,843,906.25/33,907.50
  6. Step 6: Final answer
    x = 139,345.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.