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Finding the Third Proportional to 26,914.13 and 57,941.06

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Solution

The third proportional to 26,914.13 and 57,941.06 is: 124,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914.13 : 57,941.06 = 57,941.06 : x
  2. Step 2: Convert to fraction form
    26,914.13/57,941.06 = 57,941.06/x
  3. Step 3: Cross multiply
    26,914.13x = 57,941.06 × 57,941.06
  4. Step 4: Simplify right side
    26,914.13x = 3,357,166,723.63
  5. Step 5: Solve for x
    x = 3,357,166,723.63/26,914.13
  6. Step 6: Final answer
    x = 124,736.24

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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.