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Finding the Third Proportional to 16,490 and 38,906

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Solution

The third proportional to 16,490 and 38,906 is: 91,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490 : 38,906 = 38,906 : x
  2. Step 2: Convert to fraction form
    16,490/38,906 = 38,906/x
  3. Step 3: Cross multiply
    16,490x = 38,906 × 38,906
  4. Step 4: Simplify right side
    16,490x = 1,513,676,836
  5. Step 5: Solve for x
    x = 1,513,676,836/16,490
  6. Step 6: Final answer
    x = 91,793.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.