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Finding the Third Proportional to 19,629.84 and 27,288.14

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Solution

The third proportional to 19,629.84 and 27,288.14 is: 37,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629.84 : 27,288.14 = 27,288.14 : x
  2. Step 2: Convert to fraction form
    19,629.84/27,288.14 = 27,288.14/x
  3. Step 3: Cross multiply
    19,629.84x = 27,288.14 × 27,288.14
  4. Step 4: Simplify right side
    19,629.84x = 744,642,618.77
  5. Step 5: Solve for x
    x = 744,642,618.77/19,629.84
  6. Step 6: Final answer
    x = 37,934.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.