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Finding the Third Proportional to 19,040.25 and 27,909.75

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Solution

The third proportional to 19,040.25 and 27,909.75 is: 40,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,040.25 : 27,909.75 = 27,909.75 : x
  2. Step 2: Convert to fraction form
    19,040.25/27,909.75 = 27,909.75/x
  3. Step 3: Cross multiply
    19,040.25x = 27,909.75 × 27,909.75
  4. Step 4: Simplify right side
    19,040.25x = 778,954,145.06
  5. Step 5: Solve for x
    x = 778,954,145.06/19,040.25
  6. Step 6: Final answer
    x = 40,910.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.