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Finding the Third Proportional to 41,572 and 91,894

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Solution

The third proportional to 41,572 and 91,894 is: 203,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572 : 91,894 = 91,894 : x
  2. Step 2: Convert to fraction form
    41,572/91,894 = 91,894/x
  3. Step 3: Cross multiply
    41,572x = 91,894 × 91,894
  4. Step 4: Simplify right side
    41,572x = 8,444,507,236
  5. Step 5: Solve for x
    x = 8,444,507,236/41,572
  6. Step 6: Final answer
    x = 203,129.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.