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Finding the Third Proportional to 16,702 and 25,001

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Solution

The third proportional to 16,702 and 25,001 is: 37,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702 : 25,001 = 25,001 : x
  2. Step 2: Convert to fraction form
    16,702/25,001 = 25,001/x
  3. Step 3: Cross multiply
    16,702x = 25,001 × 25,001
  4. Step 4: Simplify right side
    16,702x = 625,050,001
  5. Step 5: Solve for x
    x = 625,050,001/16,702
  6. Step 6: Final answer
    x = 37,423.66

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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.