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Finding the Third Proportional to 31,705 and 67,907

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Solution

The third proportional to 31,705 and 67,907 is: 145,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705 : 67,907 = 67,907 : x
  2. Step 2: Convert to fraction form
    31,705/67,907 = 67,907/x
  3. Step 3: Cross multiply
    31,705x = 67,907 × 67,907
  4. Step 4: Simplify right side
    31,705x = 4,611,360,649
  5. Step 5: Solve for x
    x = 4,611,360,649/31,705
  6. Step 6: Final answer
    x = 145,445.85

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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.