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Finding the Third Proportional to 14,097.75 and 21,818.25

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Solution

The third proportional to 14,097.75 and 21,818.25 is: 33,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.75 : 21,818.25 = 21,818.25 : x
  2. Step 2: Convert to fraction form
    14,097.75/21,818.25 = 21,818.25/x
  3. Step 3: Cross multiply
    14,097.75x = 21,818.25 × 21,818.25
  4. Step 4: Simplify right side
    14,097.75x = 476,036,033.06
  5. Step 5: Solve for x
    x = 476,036,033.06/14,097.75
  6. Step 6: Final answer
    x = 33,766.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.