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Finding the Third Proportional to 38,817 and 89,613

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Solution

The third proportional to 38,817 and 89,613 is: 206,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817 : 89,613 = 89,613 : x
  2. Step 2: Convert to fraction form
    38,817/89,613 = 89,613/x
  3. Step 3: Cross multiply
    38,817x = 89,613 × 89,613
  4. Step 4: Simplify right side
    38,817x = 8,030,489,769
  5. Step 5: Solve for x
    x = 8,030,489,769/38,817
  6. Step 6: Final answer
    x = 206,880.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.