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Finding the Third Proportional to 17,812 and 38,482

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Solution

The third proportional to 17,812 and 38,482 is: 83,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812 : 38,482 = 38,482 : x
  2. Step 2: Convert to fraction form
    17,812/38,482 = 38,482/x
  3. Step 3: Cross multiply
    17,812x = 38,482 × 38,482
  4. Step 4: Simplify right side
    17,812x = 1,480,864,324
  5. Step 5: Solve for x
    x = 1,480,864,324/17,812
  6. Step 6: Final answer
    x = 83,138.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.