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Finding the Third Proportional to 31,153 and 48,961

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Solution

The third proportional to 31,153 and 48,961 is: 76,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153 : 48,961 = 48,961 : x
  2. Step 2: Convert to fraction form
    31,153/48,961 = 48,961/x
  3. Step 3: Cross multiply
    31,153x = 48,961 × 48,961
  4. Step 4: Simplify right side
    31,153x = 2,397,179,521
  5. Step 5: Solve for x
    x = 2,397,179,521/31,153
  6. Step 6: Final answer
    x = 76,948.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.