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Finding the Third Proportional to 31,462 and 48,287

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Solution

The third proportional to 31,462 and 48,287 is: 74,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462 : 48,287 = 48,287 : x
  2. Step 2: Convert to fraction form
    31,462/48,287 = 48,287/x
  3. Step 3: Cross multiply
    31,462x = 48,287 × 48,287
  4. Step 4: Simplify right side
    31,462x = 2,331,634,369
  5. Step 5: Solve for x
    x = 2,331,634,369/31,462
  6. Step 6: Final answer
    x = 74,109.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.