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Finding the Third Proportional to 31,553.63 and 67,002.75

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Solution

The third proportional to 31,553.63 and 67,002.75 is: 142,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.63 : 67,002.75 = 67,002.75 : x
  2. Step 2: Convert to fraction form
    31,553.63/67,002.75 = 67,002.75/x
  3. Step 3: Cross multiply
    31,553.63x = 67,002.75 × 67,002.75
  4. Step 4: Simplify right side
    31,553.63x = 4,489,368,507.56
  5. Step 5: Solve for x
    x = 4,489,368,507.56/31,553.63
  6. Step 6: Final answer
    x = 142,277.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.