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Finding the Third Proportional to 13,766.06 and 21,879.84

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Solution

The third proportional to 13,766.06 and 21,879.84 is: 34,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.06 : 21,879.84 = 21,879.84 : x
  2. Step 2: Convert to fraction form
    13,766.06/21,879.84 = 21,879.84/x
  3. Step 3: Cross multiply
    13,766.06x = 21,879.84 × 21,879.84
  4. Step 4: Simplify right side
    13,766.06x = 478,727,562.52
  5. Step 5: Solve for x
    x = 478,727,562.52/13,766.06
  6. Step 6: Final answer
    x = 34,775.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.