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Finding the Third Proportional to 43,777.13 and 68,399.44

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Solution

The third proportional to 43,777.13 and 68,399.44 is: 106,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,777.13 : 68,399.44 = 68,399.44 : x
  2. Step 2: Convert to fraction form
    43,777.13/68,399.44 = 68,399.44/x
  3. Step 3: Cross multiply
    43,777.13x = 68,399.44 × 68,399.44
  4. Step 4: Simplify right side
    43,777.13x = 4,678,483,050.32
  5. Step 5: Solve for x
    x = 4,678,483,050.32/43,777.13
  6. Step 6: Final answer
    x = 106,870.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.