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Finding the Third Proportional to 9,191.25 and 13,718.25

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Solution

The third proportional to 9,191.25 and 13,718.25 is: 20,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.25 : 13,718.25 = 13,718.25 : x
  2. Step 2: Convert to fraction form
    9,191.25/13,718.25 = 13,718.25/x
  3. Step 3: Cross multiply
    9,191.25x = 13,718.25 × 13,718.25
  4. Step 4: Simplify right side
    9,191.25x = 188,190,383.06
  5. Step 5: Solve for x
    x = 188,190,383.06/9,191.25
  6. Step 6: Final answer
    x = 20,474.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.