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Finding the Third Proportional to 31,984 and 48,120

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Solution

The third proportional to 31,984 and 48,120 is: 72,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984 : 48,120 = 48,120 : x
  2. Step 2: Convert to fraction form
    31,984/48,120 = 48,120/x
  3. Step 3: Cross multiply
    31,984x = 48,120 × 48,120
  4. Step 4: Simplify right side
    31,984x = 2,315,534,400
  5. Step 5: Solve for x
    x = 2,315,534,400/31,984
  6. Step 6: Final answer
    x = 72,396.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.