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Finding the Third Proportional to 31,914 and 48,719

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Solution

The third proportional to 31,914 and 48,719 is: 74,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 48,719 = 48,719 : x
  2. Step 2: Convert to fraction form
    31,914/48,719 = 48,719/x
  3. Step 3: Cross multiply
    31,914x = 48,719 × 48,719
  4. Step 4: Simplify right side
    31,914x = 2,373,540,961
  5. Step 5: Solve for x
    x = 2,373,540,961/31,914
  6. Step 6: Final answer
    x = 74,373.03

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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.