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Finding the Third Proportional to 31,072 and 66,538

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Solution

The third proportional to 31,072 and 66,538 is: 142,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072 : 66,538 = 66,538 : x
  2. Step 2: Convert to fraction form
    31,072/66,538 = 66,538/x
  3. Step 3: Cross multiply
    31,072x = 66,538 × 66,538
  4. Step 4: Simplify right side
    31,072x = 4,427,305,444
  5. Step 5: Solve for x
    x = 4,427,305,444/31,072
  6. Step 6: Final answer
    x = 142,485.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.