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Finding the Third Proportional to 14,097.38 and 33,397.31

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Solution

The third proportional to 14,097.38 and 33,397.31 is: 79,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.38 : 33,397.31 = 33,397.31 : x
  2. Step 2: Convert to fraction form
    14,097.38/33,397.31 = 33,397.31/x
  3. Step 3: Cross multiply
    14,097.38x = 33,397.31 × 33,397.31
  4. Step 4: Simplify right side
    14,097.38x = 1,115,380,482.22
  5. Step 5: Solve for x
    x = 1,115,380,482.22/14,097.38
  6. Step 6: Final answer
    x = 79,119.73

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.