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Finding the Third Proportional to 31,862 and 48,225

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Solution

The third proportional to 31,862 and 48,225 is: 72,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862 : 48,225 = 48,225 : x
  2. Step 2: Convert to fraction form
    31,862/48,225 = 48,225/x
  3. Step 3: Cross multiply
    31,862x = 48,225 × 48,225
  4. Step 4: Simplify right side
    31,862x = 2,325,650,625
  5. Step 5: Solve for x
    x = 2,325,650,625/31,862
  6. Step 6: Final answer
    x = 72,991.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.