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Finding the Third Proportional to 26,871.75 and 58,346.25

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Solution

The third proportional to 26,871.75 and 58,346.25 is: 126,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871.75 : 58,346.25 = 58,346.25 : x
  2. Step 2: Convert to fraction form
    26,871.75/58,346.25 = 58,346.25/x
  3. Step 3: Cross multiply
    26,871.75x = 58,346.25 × 58,346.25
  4. Step 4: Simplify right side
    26,871.75x = 3,404,284,889.06
  5. Step 5: Solve for x
    x = 3,404,284,889.06/26,871.75
  6. Step 6: Final answer
    x = 126,686.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.