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Finding the Third Proportional to 16,746 and 35,328

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Solution

The third proportional to 16,746 and 35,328 is: 74,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746 : 35,328 = 35,328 : x
  2. Step 2: Convert to fraction form
    16,746/35,328 = 35,328/x
  3. Step 3: Cross multiply
    16,746x = 35,328 × 35,328
  4. Step 4: Simplify right side
    16,746x = 1,248,067,584
  5. Step 5: Solve for x
    x = 1,248,067,584/16,746
  6. Step 6: Final answer
    x = 74,529.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.