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Finding the Third Proportional to 31,469.63 and 68,271.75

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Solution

The third proportional to 31,469.63 and 68,271.75 is: 148,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.63 : 68,271.75 = 68,271.75 : x
  2. Step 2: Convert to fraction form
    31,469.63/68,271.75 = 68,271.75/x
  3. Step 3: Cross multiply
    31,469.63x = 68,271.75 × 68,271.75
  4. Step 4: Simplify right side
    31,469.63x = 4,661,031,848.06
  5. Step 5: Solve for x
    x = 4,661,031,848.06/31,469.63
  6. Step 6: Final answer
    x = 148,112.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.