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Finding the Third Proportional to 26,271 and 57,643

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Solution

The third proportional to 26,271 and 57,643 is: 126,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,271 : 57,643 = 57,643 : x
  2. Step 2: Convert to fraction form
    26,271/57,643 = 57,643/x
  3. Step 3: Cross multiply
    26,271x = 57,643 × 57,643
  4. Step 4: Simplify right side
    26,271x = 3,322,715,449
  5. Step 5: Solve for x
    x = 3,322,715,449/26,271
  6. Step 6: Final answer
    x = 126,478.45

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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.