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Finding the Third Proportional to 26,421 and 57,742

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Solution

The third proportional to 26,421 and 57,742 is: 126,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,421 : 57,742 = 57,742 : x
  2. Step 2: Convert to fraction form
    26,421/57,742 = 57,742/x
  3. Step 3: Cross multiply
    26,421x = 57,742 × 57,742
  4. Step 4: Simplify right side
    26,421x = 3,334,138,564
  5. Step 5: Solve for x
    x = 3,334,138,564/26,421
  6. Step 6: Final answer
    x = 126,192.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.