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Finding the Third Proportional to 36,849 and 58,437

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Solution

The third proportional to 36,849 and 58,437 is: 92,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,849 : 58,437 = 58,437 : x
  2. Step 2: Convert to fraction form
    36,849/58,437 = 58,437/x
  3. Step 3: Cross multiply
    36,849x = 58,437 × 58,437
  4. Step 4: Simplify right side
    36,849x = 3,414,882,969
  5. Step 5: Solve for x
    x = 3,414,882,969/36,849
  6. Step 6: Final answer
    x = 92,672.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.