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Finding the Third Proportional to 16,776 and 25,206

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Solution

The third proportional to 16,776 and 25,206 is: 37,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776 : 25,206 = 25,206 : x
  2. Step 2: Convert to fraction form
    16,776/25,206 = 25,206/x
  3. Step 3: Cross multiply
    16,776x = 25,206 × 25,206
  4. Step 4: Simplify right side
    16,776x = 635,342,436
  5. Step 5: Solve for x
    x = 635,342,436/16,776
  6. Step 6: Final answer
    x = 37,872.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.