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Finding the Third Proportional to 11,536.25 and 16,496.75

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Solution

The third proportional to 11,536.25 and 16,496.75 is: 23,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.25 : 16,496.75 = 16,496.75 : x
  2. Step 2: Convert to fraction form
    11,536.25/16,496.75 = 16,496.75/x
  3. Step 3: Cross multiply
    11,536.25x = 16,496.75 × 16,496.75
  4. Step 4: Simplify right side
    11,536.25x = 272,142,760.56
  5. Step 5: Solve for x
    x = 272,142,760.56/11,536.25
  6. Step 6: Final answer
    x = 23,590.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.