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Finding the Third Proportional to 9,314 and 18,466

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Solution

The third proportional to 9,314 and 18,466 is: 36,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314 : 18,466 = 18,466 : x
  2. Step 2: Convert to fraction form
    9,314/18,466 = 18,466/x
  3. Step 3: Cross multiply
    9,314x = 18,466 × 18,466
  4. Step 4: Simplify right side
    9,314x = 340,993,156
  5. Step 5: Solve for x
    x = 340,993,156/9,314
  6. Step 6: Final answer
    x = 36,610.82

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.