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Finding the Third Proportional to 26,795 and 57,478

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Solution

The third proportional to 26,795 and 57,478 is: 123,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,795 : 57,478 = 57,478 : x
  2. Step 2: Convert to fraction form
    26,795/57,478 = 57,478/x
  3. Step 3: Cross multiply
    26,795x = 57,478 × 57,478
  4. Step 4: Simplify right side
    26,795x = 3,303,720,484
  5. Step 5: Solve for x
    x = 3,303,720,484/26,795
  6. Step 6: Final answer
    x = 123,296.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.