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Finding the Third Proportional to 19,794.38 and 27,869.06

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Solution

The third proportional to 19,794.38 and 27,869.06 is: 39,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.38 : 27,869.06 = 27,869.06 : x
  2. Step 2: Convert to fraction form
    19,794.38/27,869.06 = 27,869.06/x
  3. Step 3: Cross multiply
    19,794.38x = 27,869.06 × 27,869.06
  4. Step 4: Simplify right side
    19,794.38x = 776,684,644.63
  5. Step 5: Solve for x
    x = 776,684,644.63/19,794.38
  6. Step 6: Final answer
    x = 39,237.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.