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Finding the Third Proportional to 19,182.38 and 41,029.88

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Solution

The third proportional to 19,182.38 and 41,029.88 is: 87,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182.38 : 41,029.88 = 41,029.88 : x
  2. Step 2: Convert to fraction form
    19,182.38/41,029.88 = 41,029.88/x
  3. Step 3: Cross multiply
    19,182.38x = 41,029.88 × 41,029.88
  4. Step 4: Simplify right side
    19,182.38x = 1,683,450,642.52
  5. Step 5: Solve for x
    x = 1,683,450,642.52/19,182.38
  6. Step 6: Final answer
    x = 87,760.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.