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Finding the Third Proportional to 38,314 and 92,464

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Solution

The third proportional to 38,314 and 92,464 is: 223,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314 : 92,464 = 92,464 : x
  2. Step 2: Convert to fraction form
    38,314/92,464 = 92,464/x
  3. Step 3: Cross multiply
    38,314x = 92,464 × 92,464
  4. Step 4: Simplify right side
    38,314x = 8,549,591,296
  5. Step 5: Solve for x
    x = 8,549,591,296/38,314
  6. Step 6: Final answer
    x = 223,145.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.