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Finding the Third Proportional to 19,107.75 and 39,565.50

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Solution

The third proportional to 19,107.75 and 39,565.50 is: 81,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107.75 : 39,565.50 = 39,565.50 : x
  2. Step 2: Convert to fraction form
    19,107.75/39,565.50 = 39,565.50/x
  3. Step 3: Cross multiply
    19,107.75x = 39,565.50 × 39,565.50
  4. Step 4: Simplify right side
    19,107.75x = 1,565,428,790.25
  5. Step 5: Solve for x
    x = 1,565,428,790.25/19,107.75
  6. Step 6: Final answer
    x = 81,926.38

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.