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Finding the Third Proportional to 31,914 and 48,735

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Solution

The third proportional to 31,914 and 48,735 is: 74,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 48,735 = 48,735 : x
  2. Step 2: Convert to fraction form
    31,914/48,735 = 48,735/x
  3. Step 3: Cross multiply
    31,914x = 48,735 × 48,735
  4. Step 4: Simplify right side
    31,914x = 2,375,100,225
  5. Step 5: Solve for x
    x = 2,375,100,225/31,914
  6. Step 6: Final answer
    x = 74,421.89

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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.