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Finding the Third Proportional to 38,884 and 91,052

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Solution

The third proportional to 38,884 and 91,052 is: 213,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884 : 91,052 = 91,052 : x
  2. Step 2: Convert to fraction form
    38,884/91,052 = 91,052/x
  3. Step 3: Cross multiply
    38,884x = 91,052 × 91,052
  4. Step 4: Simplify right side
    38,884x = 8,290,466,704
  5. Step 5: Solve for x
    x = 8,290,466,704/38,884
  6. Step 6: Final answer
    x = 213,210.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.