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Finding the Third Proportional to 26,354 and 57,080

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Solution

The third proportional to 26,354 and 57,080 is: 123,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354 : 57,080 = 57,080 : x
  2. Step 2: Convert to fraction form
    26,354/57,080 = 57,080/x
  3. Step 3: Cross multiply
    26,354x = 57,080 × 57,080
  4. Step 4: Simplify right side
    26,354x = 3,258,126,400
  5. Step 5: Solve for x
    x = 3,258,126,400/26,354
  6. Step 6: Final answer
    x = 123,629.29

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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.