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Finding the Third Proportional to 31,077 and 48,462

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Solution

The third proportional to 31,077 and 48,462 is: 75,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077 : 48,462 = 48,462 : x
  2. Step 2: Convert to fraction form
    31,077/48,462 = 48,462/x
  3. Step 3: Cross multiply
    31,077x = 48,462 × 48,462
  4. Step 4: Simplify right side
    31,077x = 2,348,565,444
  5. Step 5: Solve for x
    x = 2,348,565,444/31,077
  6. Step 6: Final answer
    x = 75,572.46

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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.