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Finding the Third Proportional to 19,581.38 and 41,395.13

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Solution

The third proportional to 19,581.38 and 41,395.13 is: 87,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.38 : 41,395.13 = 41,395.13 : x
  2. Step 2: Convert to fraction form
    19,581.38/41,395.13 = 41,395.13/x
  3. Step 3: Cross multiply
    19,581.38x = 41,395.13 × 41,395.13
  4. Step 4: Simplify right side
    19,581.38x = 1,713,556,373.77
  5. Step 5: Solve for x
    x = 1,713,556,373.77/19,581.38
  6. Step 6: Final answer
    x = 87,509.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.