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Finding the Third Proportional to 43,624 and 94,664

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Solution

The third proportional to 43,624 and 94,664 is: 205,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,624 : 94,664 = 94,664 : x
  2. Step 2: Convert to fraction form
    43,624/94,664 = 94,664/x
  3. Step 3: Cross multiply
    43,624x = 94,664 × 94,664
  4. Step 4: Simplify right side
    43,624x = 8,961,272,896
  5. Step 5: Solve for x
    x = 8,961,272,896/43,624
  6. Step 6: Final answer
    x = 205,420.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.