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Finding the Third Proportional to 19,650.19 and 27,778.13

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Solution

The third proportional to 19,650.19 and 27,778.13 is: 39,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.19 : 27,778.13 = 27,778.13 : x
  2. Step 2: Convert to fraction form
    19,650.19/27,778.13 = 27,778.13/x
  3. Step 3: Cross multiply
    19,650.19x = 27,778.13 × 27,778.13
  4. Step 4: Simplify right side
    19,650.19x = 771,624,228.52
  5. Step 5: Solve for x
    x = 771,624,228.52/19,650.19
  6. Step 6: Final answer
    x = 39,268.03

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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.