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Finding the Third Proportional to 16,006 and 25,060

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Solution

The third proportional to 16,006 and 25,060 is: 39,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006 : 25,060 = 25,060 : x
  2. Step 2: Convert to fraction form
    16,006/25,060 = 25,060/x
  3. Step 3: Cross multiply
    16,006x = 25,060 × 25,060
  4. Step 4: Simplify right side
    16,006x = 628,003,600
  5. Step 5: Solve for x
    x = 628,003,600/16,006
  6. Step 6: Final answer
    x = 39,235.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.