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Finding the Third Proportional to 34,164.56 and 53,589.38

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Solution

The third proportional to 34,164.56 and 53,589.38 is: 84,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.56 : 53,589.38 = 53,589.38 : x
  2. Step 2: Convert to fraction form
    34,164.56/53,589.38 = 53,589.38/x
  3. Step 3: Cross multiply
    34,164.56x = 53,589.38 × 53,589.38
  4. Step 4: Simplify right side
    34,164.56x = 2,871,821,112.89
  5. Step 5: Solve for x
    x = 2,871,821,112.89/34,164.56
  6. Step 6: Final answer
    x = 84,058.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.