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Finding the Third Proportional to 38,354 and 91,511

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Solution

The third proportional to 38,354 and 91,511 is: 218,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,354 : 91,511 = 91,511 : x
  2. Step 2: Convert to fraction form
    38,354/91,511 = 91,511/x
  3. Step 3: Cross multiply
    38,354x = 91,511 × 91,511
  4. Step 4: Simplify right side
    38,354x = 8,374,263,121
  5. Step 5: Solve for x
    x = 8,374,263,121/38,354
  6. Step 6: Final answer
    x = 218,341.32

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.