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Finding the Third Proportional to 18,308 and 42,314

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Solution

The third proportional to 18,308 and 42,314 is: 97,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,308 : 42,314 = 42,314 : x
  2. Step 2: Convert to fraction form
    18,308/42,314 = 42,314/x
  3. Step 3: Cross multiply
    18,308x = 42,314 × 42,314
  4. Step 4: Simplify right side
    18,308x = 1,790,474,596
  5. Step 5: Solve for x
    x = 1,790,474,596/18,308
  6. Step 6: Final answer
    x = 97,797.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.