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Finding the Third Proportional to 43,626 and 94,668

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Solution

The third proportional to 43,626 and 94,668 is: 205,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,626 : 94,668 = 94,668 : x
  2. Step 2: Convert to fraction form
    43,626/94,668 = 94,668/x
  3. Step 3: Cross multiply
    43,626x = 94,668 × 94,668
  4. Step 4: Simplify right side
    43,626x = 8,962,030,224
  5. Step 5: Solve for x
    x = 8,962,030,224/43,626
  6. Step 6: Final answer
    x = 205,428.65

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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.