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Finding the Third Proportional to 45,311.91 and 58,638.94

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Solution

The third proportional to 45,311.91 and 58,638.94 is: 75,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.91 : 58,638.94 = 58,638.94 : x
  2. Step 2: Convert to fraction form
    45,311.91/58,638.94 = 58,638.94/x
  3. Step 3: Cross multiply
    45,311.91x = 58,638.94 × 58,638.94
  4. Step 4: Simplify right side
    45,311.91x = 3,438,524,991.13
  5. Step 5: Solve for x
    x = 3,438,524,991.13/45,311.91
  6. Step 6: Final answer
    x = 75,885.68

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.