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Finding the Third Proportional to 26,412 and 57,380

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Solution

The third proportional to 26,412 and 57,380 is: 124,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,412 : 57,380 = 57,380 : x
  2. Step 2: Convert to fraction form
    26,412/57,380 = 57,380/x
  3. Step 3: Cross multiply
    26,412x = 57,380 × 57,380
  4. Step 4: Simplify right side
    26,412x = 3,292,464,400
  5. Step 5: Solve for x
    x = 3,292,464,400/26,412
  6. Step 6: Final answer
    x = 124,657.90

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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.