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Finding the Third Proportional to 31,013 and 64,650

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Solution

The third proportional to 31,013 and 64,650 is: 134,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013 : 64,650 = 64,650 : x
  2. Step 2: Convert to fraction form
    31,013/64,650 = 64,650/x
  3. Step 3: Cross multiply
    31,013x = 64,650 × 64,650
  4. Step 4: Simplify right side
    31,013x = 4,179,622,500
  5. Step 5: Solve for x
    x = 4,179,622,500/31,013
  6. Step 6: Final answer
    x = 134,770.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.