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Finding the Third Proportional to 26,805.19 and 57,291.56

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Solution

The third proportional to 26,805.19 and 57,291.56 is: 122,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.19 : 57,291.56 = 57,291.56 : x
  2. Step 2: Convert to fraction form
    26,805.19/57,291.56 = 57,291.56/x
  3. Step 3: Cross multiply
    26,805.19x = 57,291.56 × 57,291.56
  4. Step 4: Simplify right side
    26,805.19x = 3,282,323,133.69
  5. Step 5: Solve for x
    x = 3,282,323,133.69/26,805.19
  6. Step 6: Final answer
    x = 122,451.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.