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Finding the Third Proportional to 20,257 and 43,754

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Solution

The third proportional to 20,257 and 43,754 is: 94,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257 : 43,754 = 43,754 : x
  2. Step 2: Convert to fraction form
    20,257/43,754 = 43,754/x
  3. Step 3: Cross multiply
    20,257x = 43,754 × 43,754
  4. Step 4: Simplify right side
    20,257x = 1,914,412,516
  5. Step 5: Solve for x
    x = 1,914,412,516/20,257
  6. Step 6: Final answer
    x = 94,506.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.