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Finding the Third Proportional to 16,058 and 38,685

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Solution

The third proportional to 16,058 and 38,685 is: 93,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058 : 38,685 = 38,685 : x
  2. Step 2: Convert to fraction form
    16,058/38,685 = 38,685/x
  3. Step 3: Cross multiply
    16,058x = 38,685 × 38,685
  4. Step 4: Simplify right side
    16,058x = 1,496,529,225
  5. Step 5: Solve for x
    x = 1,496,529,225/16,058
  6. Step 6: Final answer
    x = 93,195.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.