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Finding the Third Proportional to 39,400 and 58,964

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Solution

The third proportional to 39,400 and 58,964 is: 88,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,400 : 58,964 = 58,964 : x
  2. Step 2: Convert to fraction form
    39,400/58,964 = 58,964/x
  3. Step 3: Cross multiply
    39,400x = 58,964 × 58,964
  4. Step 4: Simplify right side
    39,400x = 3,476,753,296
  5. Step 5: Solve for x
    x = 3,476,753,296/39,400
  6. Step 6: Final answer
    x = 88,242.47

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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.