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Finding the Third Proportional to 26,351 and 57,076

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Solution

The third proportional to 26,351 and 57,076 is: 123,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,351 : 57,076 = 57,076 : x
  2. Step 2: Convert to fraction form
    26,351/57,076 = 57,076/x
  3. Step 3: Cross multiply
    26,351x = 57,076 × 57,076
  4. Step 4: Simplify right side
    26,351x = 3,257,669,776
  5. Step 5: Solve for x
    x = 3,257,669,776/26,351
  6. Step 6: Final answer
    x = 123,626.04

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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.