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Finding the Third Proportional to 16,175 and 24,983

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Solution

The third proportional to 16,175 and 24,983 is: 38,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175 : 24,983 = 24,983 : x
  2. Step 2: Convert to fraction form
    16,175/24,983 = 24,983/x
  3. Step 3: Cross multiply
    16,175x = 24,983 × 24,983
  4. Step 4: Simplify right side
    16,175x = 624,150,289
  5. Step 5: Solve for x
    x = 624,150,289/16,175
  6. Step 6: Final answer
    x = 38,587.34

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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.