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Finding the Third Proportional to 41,391 and 87,713

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Solution

The third proportional to 41,391 and 87,713 is: 185,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,391 : 87,713 = 87,713 : x
  2. Step 2: Convert to fraction form
    41,391/87,713 = 87,713/x
  3. Step 3: Cross multiply
    41,391x = 87,713 × 87,713
  4. Step 4: Simplify right side
    41,391x = 7,693,570,369
  5. Step 5: Solve for x
    x = 7,693,570,369/41,391
  6. Step 6: Final answer
    x = 185,875.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.