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Finding the Third Proportional to 41,893 and 91,313

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Solution

The third proportional to 41,893 and 91,313 is: 199,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,893 : 91,313 = 91,313 : x
  2. Step 2: Convert to fraction form
    41,893/91,313 = 91,313/x
  3. Step 3: Cross multiply
    41,893x = 91,313 × 91,313
  4. Step 4: Simplify right side
    41,893x = 8,338,063,969
  5. Step 5: Solve for x
    x = 8,338,063,969/41,893
  6. Step 6: Final answer
    x = 199,032.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.