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Finding the Third Proportional to 13,989.38 and 21,836.25

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Solution

The third proportional to 13,989.38 and 21,836.25 is: 34,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.38 : 21,836.25 = 21,836.25 : x
  2. Step 2: Convert to fraction form
    13,989.38/21,836.25 = 21,836.25/x
  3. Step 3: Cross multiply
    13,989.38x = 21,836.25 × 21,836.25
  4. Step 4: Simplify right side
    13,989.38x = 476,821,814.06
  5. Step 5: Solve for x
    x = 476,821,814.06/13,989.38
  6. Step 6: Final answer
    x = 34,084.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.