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Finding the Third Proportional to 31,915 and 67,865

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Solution

The third proportional to 31,915 and 67,865 is: 144,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915 : 67,865 = 67,865 : x
  2. Step 2: Convert to fraction form
    31,915/67,865 = 67,865/x
  3. Step 3: Cross multiply
    31,915x = 67,865 × 67,865
  4. Step 4: Simplify right side
    31,915x = 4,605,658,225
  5. Step 5: Solve for x
    x = 4,605,658,225/31,915
  6. Step 6: Final answer
    x = 144,310.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.