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Finding the Third Proportional to 35,185.92 and 54,564.05

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Solution

The third proportional to 35,185.92 and 54,564.05 is: 84,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,185.92 : 54,564.05 = 54,564.05 : x
  2. Step 2: Convert to fraction form
    35,185.92/54,564.05 = 54,564.05/x
  3. Step 3: Cross multiply
    35,185.92x = 54,564.05 × 54,564.05
  4. Step 4: Simplify right side
    35,185.92x = 2,977,235,211.38
  5. Step 5: Solve for x
    x = 2,977,235,211.38/35,185.92
  6. Step 6: Final answer
    x = 84,614.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.