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Finding the Third Proportional to 13,232.25 and 21,063.38

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Solution

The third proportional to 13,232.25 and 21,063.38 is: 33,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.25 : 21,063.38 = 21,063.38 : x
  2. Step 2: Convert to fraction form
    13,232.25/21,063.38 = 21,063.38/x
  3. Step 3: Cross multiply
    13,232.25x = 21,063.38 × 21,063.38
  4. Step 4: Simplify right side
    13,232.25x = 443,665,766.39
  5. Step 5: Solve for x
    x = 443,665,766.39/13,232.25
  6. Step 6: Final answer
    x = 33,529.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.