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Finding the Third Proportional to 16,216 and 25,055

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Solution

The third proportional to 16,216 and 25,055 is: 38,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216 : 25,055 = 25,055 : x
  2. Step 2: Convert to fraction form
    16,216/25,055 = 25,055/x
  3. Step 3: Cross multiply
    16,216x = 25,055 × 25,055
  4. Step 4: Simplify right side
    16,216x = 627,753,025
  5. Step 5: Solve for x
    x = 627,753,025/16,216
  6. Step 6: Final answer
    x = 38,711.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.