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Finding the Third Proportional to 26,230 and 57,347

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Solution

The third proportional to 26,230 and 57,347 is: 125,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,230 : 57,347 = 57,347 : x
  2. Step 2: Convert to fraction form
    26,230/57,347 = 57,347/x
  3. Step 3: Cross multiply
    26,230x = 57,347 × 57,347
  4. Step 4: Simplify right side
    26,230x = 3,288,678,409
  5. Step 5: Solve for x
    x = 3,288,678,409/26,230
  6. Step 6: Final answer
    x = 125,378.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.