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Finding the Third Proportional to 36,701 and 51,351

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Solution

The third proportional to 36,701 and 51,351 is: 71,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701 : 51,351 = 51,351 : x
  2. Step 2: Convert to fraction form
    36,701/51,351 = 51,351/x
  3. Step 3: Cross multiply
    36,701x = 51,351 × 51,351
  4. Step 4: Simplify right side
    36,701x = 2,636,925,201
  5. Step 5: Solve for x
    x = 2,636,925,201/36,701
  6. Step 6: Final answer
    x = 71,848.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.