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Finding the Third Proportional to 19,027.41 and 27,044.72

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Solution

The third proportional to 19,027.41 and 27,044.72 is: 38,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027.41 : 27,044.72 = 27,044.72 : x
  2. Step 2: Convert to fraction form
    19,027.41/27,044.72 = 27,044.72/x
  3. Step 3: Cross multiply
    19,027.41x = 27,044.72 × 27,044.72
  4. Step 4: Simplify right side
    19,027.41x = 731,416,812.27
  5. Step 5: Solve for x
    x = 731,416,812.27/19,027.41
  6. Step 6: Final answer
    x = 38,440.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.