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Finding the Third Proportional to 19,002.09 and 27,491.91

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Solution

The third proportional to 19,002.09 and 27,491.91 is: 39,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,002.09 : 27,491.91 = 27,491.91 : x
  2. Step 2: Convert to fraction form
    19,002.09/27,491.91 = 27,491.91/x
  3. Step 3: Cross multiply
    19,002.09x = 27,491.91 × 27,491.91
  4. Step 4: Simplify right side
    19,002.09x = 755,804,909.26
  5. Step 5: Solve for x
    x = 755,804,909.26/19,002.09
  6. Step 6: Final answer
    x = 39,774.82

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.