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Finding the Third Proportional to 27,808 and 43,041

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Solution

The third proportional to 27,808 and 43,041 is: 66,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 43,041 = 43,041 : x
  2. Step 2: Convert to fraction form
    27,808/43,041 = 43,041/x
  3. Step 3: Cross multiply
    27,808x = 43,041 × 43,041
  4. Step 4: Simplify right side
    27,808x = 1,852,527,681
  5. Step 5: Solve for x
    x = 1,852,527,681/27,808
  6. Step 6: Final answer
    x = 66,618.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.