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Finding the Third Proportional to 16,859 and 25,288

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Solution

The third proportional to 16,859 and 25,288 is: 37,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859 : 25,288 = 25,288 : x
  2. Step 2: Convert to fraction form
    16,859/25,288 = 25,288/x
  3. Step 3: Cross multiply
    16,859x = 25,288 × 25,288
  4. Step 4: Simplify right side
    16,859x = 639,482,944
  5. Step 5: Solve for x
    x = 639,482,944/16,859
  6. Step 6: Final answer
    x = 37,931.25

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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.