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Finding the Third Proportional to 39,421 and 58,977

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Solution

The third proportional to 39,421 and 58,977 is: 88,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,421 : 58,977 = 58,977 : x
  2. Step 2: Convert to fraction form
    39,421/58,977 = 58,977/x
  3. Step 3: Cross multiply
    39,421x = 58,977 × 58,977
  4. Step 4: Simplify right side
    39,421x = 3,478,286,529
  5. Step 5: Solve for x
    x = 3,478,286,529/39,421
  6. Step 6: Final answer
    x = 88,234.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.