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Finding the Third Proportional to 45,593.44 and 68,207.91

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Solution

The third proportional to 45,593.44 and 68,207.91 is: 102,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,593.44 : 68,207.91 = 68,207.91 : x
  2. Step 2: Convert to fraction form
    45,593.44/68,207.91 = 68,207.91/x
  3. Step 3: Cross multiply
    45,593.44x = 68,207.91 × 68,207.91
  4. Step 4: Simplify right side
    45,593.44x = 4,652,318,475.01
  5. Step 5: Solve for x
    x = 4,652,318,475.01/45,593.44
  6. Step 6: Final answer
    x = 102,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.