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Finding the Third Proportional to 14,097.38 and 32,781.94

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Solution

The third proportional to 14,097.38 and 32,781.94 is: 76,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.38 : 32,781.94 = 32,781.94 : x
  2. Step 2: Convert to fraction form
    14,097.38/32,781.94 = 32,781.94/x
  3. Step 3: Cross multiply
    14,097.38x = 32,781.94 × 32,781.94
  4. Step 4: Simplify right side
    14,097.38x = 1,074,655,426.25
  5. Step 5: Solve for x
    x = 1,074,655,426.25/14,097.38
  6. Step 6: Final answer
    x = 76,230.89

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.