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Finding the Third Proportional to 38,022 and 92,463

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Solution

The third proportional to 38,022 and 92,463 is: 224,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022 : 92,463 = 92,463 : x
  2. Step 2: Convert to fraction form
    38,022/92,463 = 92,463/x
  3. Step 3: Cross multiply
    38,022x = 92,463 × 92,463
  4. Step 4: Simplify right side
    38,022x = 8,549,406,369
  5. Step 5: Solve for x
    x = 8,549,406,369/38,022
  6. Step 6: Final answer
    x = 224,854.20

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.