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Finding the Third Proportional to 19,648.83 and 42,424.38

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Solution

The third proportional to 19,648.83 and 42,424.38 is: 91,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.83 : 42,424.38 = 42,424.38 : x
  2. Step 2: Convert to fraction form
    19,648.83/42,424.38 = 42,424.38/x
  3. Step 3: Cross multiply
    19,648.83x = 42,424.38 × 42,424.38
  4. Step 4: Simplify right side
    19,648.83x = 1,799,828,257.02
  5. Step 5: Solve for x
    x = 1,799,828,257.02/19,648.83
  6. Step 6: Final answer
    x = 91,599.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.