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Finding the Third Proportional to 16,056 and 34,326

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Solution

The third proportional to 16,056 and 34,326 is: 73,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056 : 34,326 = 34,326 : x
  2. Step 2: Convert to fraction form
    16,056/34,326 = 34,326/x
  3. Step 3: Cross multiply
    16,056x = 34,326 × 34,326
  4. Step 4: Simplify right side
    16,056x = 1,178,274,276
  5. Step 5: Solve for x
    x = 1,178,274,276/16,056
  6. Step 6: Final answer
    x = 73,385.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.