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Finding the Third Proportional to 18,307 and 40,177

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Solution

The third proportional to 18,307 and 40,177 is: 88,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307 : 40,177 = 40,177 : x
  2. Step 2: Convert to fraction form
    18,307/40,177 = 40,177/x
  3. Step 3: Cross multiply
    18,307x = 40,177 × 40,177
  4. Step 4: Simplify right side
    18,307x = 1,614,191,329
  5. Step 5: Solve for x
    x = 1,614,191,329/18,307
  6. Step 6: Final answer
    x = 88,173.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.