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Finding the Third Proportional to 26,410 and 57,374

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Solution

The third proportional to 26,410 and 57,374 is: 124,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410 : 57,374 = 57,374 : x
  2. Step 2: Convert to fraction form
    26,410/57,374 = 57,374/x
  3. Step 3: Cross multiply
    26,410x = 57,374 × 57,374
  4. Step 4: Simplify right side
    26,410x = 3,291,775,876
  5. Step 5: Solve for x
    x = 3,291,775,876/26,410
  6. Step 6: Final answer
    x = 124,641.27

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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.