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Finding the Third Proportional to 31,064 and 48,441

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Solution

The third proportional to 31,064 and 48,441 is: 75,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064 : 48,441 = 48,441 : x
  2. Step 2: Convert to fraction form
    31,064/48,441 = 48,441/x
  3. Step 3: Cross multiply
    31,064x = 48,441 × 48,441
  4. Step 4: Simplify right side
    31,064x = 2,346,530,481
  5. Step 5: Solve for x
    x = 2,346,530,481/31,064
  6. Step 6: Final answer
    x = 75,538.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.