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Finding the Third Proportional to 32,138 and 49,467

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Solution

The third proportional to 32,138 and 49,467 is: 76,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138 : 49,467 = 49,467 : x
  2. Step 2: Convert to fraction form
    32,138/49,467 = 49,467/x
  3. Step 3: Cross multiply
    32,138x = 49,467 × 49,467
  4. Step 4: Simplify right side
    32,138x = 2,446,984,089
  5. Step 5: Solve for x
    x = 2,446,984,089/32,138
  6. Step 6: Final answer
    x = 76,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.