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Finding the Third Proportional to 30,781.27 and 66,369.38

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Solution

The third proportional to 30,781.27 and 66,369.38 is: 143,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.27 : 66,369.38 = 66,369.38 : x
  2. Step 2: Convert to fraction form
    30,781.27/66,369.38 = 66,369.38/x
  3. Step 3: Cross multiply
    30,781.27x = 66,369.38 × 66,369.38
  4. Step 4: Simplify right side
    30,781.27x = 4,404,893,937.89
  5. Step 5: Solve for x
    x = 4,404,893,937.89/30,781.27
  6. Step 6: Final answer
    x = 143,103.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.