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Finding the Third Proportional to 19,122.75 and 27,847.13

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Solution

The third proportional to 19,122.75 and 27,847.13 is: 40,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.75 : 27,847.13 = 27,847.13 : x
  2. Step 2: Convert to fraction form
    19,122.75/27,847.13 = 27,847.13/x
  3. Step 3: Cross multiply
    19,122.75x = 27,847.13 × 27,847.13
  4. Step 4: Simplify right side
    19,122.75x = 775,462,370.77
  5. Step 5: Solve for x
    x = 775,462,370.77/19,122.75
  6. Step 6: Final answer
    x = 40,551.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.