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Finding the Third Proportional to 31,006 and 67,910

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Solution

The third proportional to 31,006 and 67,910 is: 148,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006 : 67,910 = 67,910 : x
  2. Step 2: Convert to fraction form
    31,006/67,910 = 67,910/x
  3. Step 3: Cross multiply
    31,006x = 67,910 × 67,910
  4. Step 4: Simplify right side
    31,006x = 4,611,768,100
  5. Step 5: Solve for x
    x = 4,611,768,100/31,006
  6. Step 6: Final answer
    x = 148,737.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.