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Finding the Third Proportional to 16,051 and 23,612

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Solution

The third proportional to 16,051 and 23,612 is: 34,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051 : 23,612 = 23,612 : x
  2. Step 2: Convert to fraction form
    16,051/23,612 = 23,612/x
  3. Step 3: Cross multiply
    16,051x = 23,612 × 23,612
  4. Step 4: Simplify right side
    16,051x = 557,526,544
  5. Step 5: Solve for x
    x = 557,526,544/16,051
  6. Step 6: Final answer
    x = 34,734.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.