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Finding the Third Proportional to 16,697 and 25,466

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Solution

The third proportional to 16,697 and 25,466 is: 38,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697 : 25,466 = 25,466 : x
  2. Step 2: Convert to fraction form
    16,697/25,466 = 25,466/x
  3. Step 3: Cross multiply
    16,697x = 25,466 × 25,466
  4. Step 4: Simplify right side
    16,697x = 648,517,156
  5. Step 5: Solve for x
    x = 648,517,156/16,697
  6. Step 6: Final answer
    x = 38,840.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.