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Finding the Third Proportional to 16,941 and 25,537

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Solution

The third proportional to 16,941 and 25,537 is: 38,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,941 : 25,537 = 25,537 : x
  2. Step 2: Convert to fraction form
    16,941/25,537 = 25,537/x
  3. Step 3: Cross multiply
    16,941x = 25,537 × 25,537
  4. Step 4: Simplify right side
    16,941x = 652,138,369
  5. Step 5: Solve for x
    x = 652,138,369/16,941
  6. Step 6: Final answer
    x = 38,494.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.