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Finding the Third Proportional to 31,461 and 69,915

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Solution

The third proportional to 31,461 and 69,915 is: 155,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461 : 69,915 = 69,915 : x
  2. Step 2: Convert to fraction form
    31,461/69,915 = 69,915/x
  3. Step 3: Cross multiply
    31,461x = 69,915 × 69,915
  4. Step 4: Simplify right side
    31,461x = 4,888,107,225
  5. Step 5: Solve for x
    x = 4,888,107,225/31,461
  6. Step 6: Final answer
    x = 155,370.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.