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Finding the Third Proportional to 39,414 and 58,983

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Solution

The third proportional to 39,414 and 58,983 is: 88,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 58,983 = 58,983 : x
  2. Step 2: Convert to fraction form
    39,414/58,983 = 58,983/x
  3. Step 3: Cross multiply
    39,414x = 58,983 × 58,983
  4. Step 4: Simplify right side
    39,414x = 3,478,994,289
  5. Step 5: Solve for x
    x = 3,478,994,289/39,414
  6. Step 6: Final answer
    x = 88,267.98

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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.