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Finding the Third Proportional to 16,929 and 25,299

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Solution

The third proportional to 16,929 and 25,299 is: 37,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929 : 25,299 = 25,299 : x
  2. Step 2: Convert to fraction form
    16,929/25,299 = 25,299/x
  3. Step 3: Cross multiply
    16,929x = 25,299 × 25,299
  4. Step 4: Simplify right side
    16,929x = 640,039,401
  5. Step 5: Solve for x
    x = 640,039,401/16,929
  6. Step 6: Final answer
    x = 37,807.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.