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Finding the Third Proportional to 26,541 and 57,014

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Solution

The third proportional to 26,541 and 57,014 is: 122,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,541 : 57,014 = 57,014 : x
  2. Step 2: Convert to fraction form
    26,541/57,014 = 57,014/x
  3. Step 3: Cross multiply
    26,541x = 57,014 × 57,014
  4. Step 4: Simplify right side
    26,541x = 3,250,596,196
  5. Step 5: Solve for x
    x = 3,250,596,196/26,541
  6. Step 6: Final answer
    x = 122,474.52

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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.