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Finding the Third Proportional to 13,922.19 and 21,568.15

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Solution

The third proportional to 13,922.19 and 21,568.15 is: 33,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.19 : 21,568.15 = 21,568.15 : x
  2. Step 2: Convert to fraction form
    13,922.19/21,568.15 = 21,568.15/x
  3. Step 3: Cross multiply
    13,922.19x = 21,568.15 × 21,568.15
  4. Step 4: Simplify right side
    13,922.19x = 465,185,027.02
  5. Step 5: Solve for x
    x = 465,185,027.02/13,922.19
  6. Step 6: Final answer
    x = 33,413.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.