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Finding the Third Proportional to 26,405 and 57,364

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Solution

The third proportional to 26,405 and 57,364 is: 124,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405 : 57,364 = 57,364 : x
  2. Step 2: Convert to fraction form
    26,405/57,364 = 57,364/x
  3. Step 3: Cross multiply
    26,405x = 57,364 × 57,364
  4. Step 4: Simplify right side
    26,405x = 3,290,628,496
  5. Step 5: Solve for x
    x = 3,290,628,496/26,405
  6. Step 6: Final answer
    x = 124,621.42

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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.