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Finding the Third Proportional to 16,033 and 34,252

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Solution

The third proportional to 16,033 and 34,252 is: 73,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033 : 34,252 = 34,252 : x
  2. Step 2: Convert to fraction form
    16,033/34,252 = 34,252/x
  3. Step 3: Cross multiply
    16,033x = 34,252 × 34,252
  4. Step 4: Simplify right side
    16,033x = 1,173,199,504
  5. Step 5: Solve for x
    x = 1,173,199,504/16,033
  6. Step 6: Final answer
    x = 73,174.05

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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.