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Finding the Third Proportional to 16,032 and 36,904

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Solution

The third proportional to 16,032 and 36,904 is: 84,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 36,904 = 36,904 : x
  2. Step 2: Convert to fraction form
    16,032/36,904 = 36,904/x
  3. Step 3: Cross multiply
    16,032x = 36,904 × 36,904
  4. Step 4: Simplify right side
    16,032x = 1,361,905,216
  5. Step 5: Solve for x
    x = 1,361,905,216/16,032
  6. Step 6: Final answer
    x = 84,949.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.