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Finding the Third Proportional to 18,829 and 40,757

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Solution

The third proportional to 18,829 and 40,757 is: 88,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829 : 40,757 = 40,757 : x
  2. Step 2: Convert to fraction form
    18,829/40,757 = 40,757/x
  3. Step 3: Cross multiply
    18,829x = 40,757 × 40,757
  4. Step 4: Simplify right side
    18,829x = 1,661,133,049
  5. Step 5: Solve for x
    x = 1,661,133,049/18,829
  6. Step 6: Final answer
    x = 88,222.05

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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.