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Finding the Third Proportional to 10,496.25 and 13,643.44

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Solution

The third proportional to 10,496.25 and 13,643.44 is: 17,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.25 : 13,643.44 = 13,643.44 : x
  2. Step 2: Convert to fraction form
    10,496.25/13,643.44 = 13,643.44/x
  3. Step 3: Cross multiply
    10,496.25x = 13,643.44 × 13,643.44
  4. Step 4: Simplify right side
    10,496.25x = 186,143,386.82
  5. Step 5: Solve for x
    x = 186,143,386.82/10,496.25
  6. Step 6: Final answer
    x = 17,734.28

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.