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Finding the Third Proportional to 39,397 and 58,477

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Solution

The third proportional to 39,397 and 58,477 is: 86,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 58,477 = 58,477 : x
  2. Step 2: Convert to fraction form
    39,397/58,477 = 58,477/x
  3. Step 3: Cross multiply
    39,397x = 58,477 × 58,477
  4. Step 4: Simplify right side
    39,397x = 3,419,559,529
  5. Step 5: Solve for x
    x = 3,419,559,529/39,397
  6. Step 6: Final answer
    x = 86,797.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.