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Finding the Third Proportional to 25,565.50 and 54,684.50

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Solution

The third proportional to 25,565.50 and 54,684.50 is: 116,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.50 : 54,684.50 = 54,684.50 : x
  2. Step 2: Convert to fraction form
    25,565.50/54,684.50 = 54,684.50/x
  3. Step 3: Cross multiply
    25,565.50x = 54,684.50 × 54,684.50
  4. Step 4: Simplify right side
    25,565.50x = 2,990,394,540.25
  5. Step 5: Solve for x
    x = 2,990,394,540.25/25,565.50
  6. Step 6: Final answer
    x = 116,969.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.