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Finding the Third Proportional to 16,235 and 25,069

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Solution

The third proportional to 16,235 and 25,069 is: 38,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235 : 25,069 = 25,069 : x
  2. Step 2: Convert to fraction form
    16,235/25,069 = 25,069/x
  3. Step 3: Cross multiply
    16,235x = 25,069 × 25,069
  4. Step 4: Simplify right side
    16,235x = 628,454,761
  5. Step 5: Solve for x
    x = 628,454,761/16,235
  6. Step 6: Final answer
    x = 38,709.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.