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Finding the Third Proportional to 5,366.25 and 13,719.38

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Solution

The third proportional to 5,366.25 and 13,719.38 is: 35,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.25 : 13,719.38 = 13,719.38 : x
  2. Step 2: Convert to fraction form
    5,366.25/13,719.38 = 13,719.38/x
  3. Step 3: Cross multiply
    5,366.25x = 13,719.38 × 13,719.38
  4. Step 4: Simplify right side
    5,366.25x = 188,221,250.39
  5. Step 5: Solve for x
    x = 188,221,250.39/5,366.25
  6. Step 6: Final answer
    x = 35,075.01

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.