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Finding the Third Proportional to 16,329 and 34,584

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Solution

The third proportional to 16,329 and 34,584 is: 73,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329 : 34,584 = 34,584 : x
  2. Step 2: Convert to fraction form
    16,329/34,584 = 34,584/x
  3. Step 3: Cross multiply
    16,329x = 34,584 × 34,584
  4. Step 4: Simplify right side
    16,329x = 1,196,053,056
  5. Step 5: Solve for x
    x = 1,196,053,056/16,329
  6. Step 6: Final answer
    x = 73,247.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.