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Finding the Third Proportional to 33,146 and 48,740

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Solution

The third proportional to 33,146 and 48,740 is: 71,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146 : 48,740 = 48,740 : x
  2. Step 2: Convert to fraction form
    33,146/48,740 = 48,740/x
  3. Step 3: Cross multiply
    33,146x = 48,740 × 48,740
  4. Step 4: Simplify right side
    33,146x = 2,375,587,600
  5. Step 5: Solve for x
    x = 2,375,587,600/33,146
  6. Step 6: Final answer
    x = 71,670.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.