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Finding the Third Proportional to 39,186 and 58,606

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Solution

The third proportional to 39,186 and 58,606 is: 87,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 58,606 = 58,606 : x
  2. Step 2: Convert to fraction form
    39,186/58,606 = 58,606/x
  3. Step 3: Cross multiply
    39,186x = 58,606 × 58,606
  4. Step 4: Simplify right side
    39,186x = 3,434,663,236
  5. Step 5: Solve for x
    x = 3,434,663,236/39,186
  6. Step 6: Final answer
    x = 87,650.26

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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.