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Finding the Third Proportional to 44,493 and 68,869.50

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Solution

The third proportional to 44,493 and 68,869.50 is: 106,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,493 : 68,869.50 = 68,869.50 : x
  2. Step 2: Convert to fraction form
    44,493/68,869.50 = 68,869.50/x
  3. Step 3: Cross multiply
    44,493x = 68,869.50 × 68,869.50
  4. Step 4: Simplify right side
    44,493x = 4,743,008,030.25
  5. Step 5: Solve for x
    x = 4,743,008,030.25/44,493
  6. Step 6: Final answer
    x = 106,601.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.