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Finding the Third Proportional to 16,900 and 25,357

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Solution

The third proportional to 16,900 and 25,357 is: 38,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900 : 25,357 = 25,357 : x
  2. Step 2: Convert to fraction form
    16,900/25,357 = 25,357/x
  3. Step 3: Cross multiply
    16,900x = 25,357 × 25,357
  4. Step 4: Simplify right side
    16,900x = 642,977,449
  5. Step 5: Solve for x
    x = 642,977,449/16,900
  6. Step 6: Final answer
    x = 38,046.00

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