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Finding the Third Proportional to 31,002.75 and 65,954.25

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Solution

The third proportional to 31,002.75 and 65,954.25 is: 140,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.75 : 65,954.25 = 65,954.25 : x
  2. Step 2: Convert to fraction form
    31,002.75/65,954.25 = 65,954.25/x
  3. Step 3: Cross multiply
    31,002.75x = 65,954.25 × 65,954.25
  4. Step 4: Simplify right side
    31,002.75x = 4,349,963,093.06
  5. Step 5: Solve for x
    x = 4,349,963,093.06/31,002.75
  6. Step 6: Final answer
    x = 140,308.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.