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Finding the Third Proportional to 35,982.56 and 56,935.41

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Solution

The third proportional to 35,982.56 and 56,935.41 is: 90,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.56 : 56,935.41 = 56,935.41 : x
  2. Step 2: Convert to fraction form
    35,982.56/56,935.41 = 56,935.41/x
  3. Step 3: Cross multiply
    35,982.56x = 56,935.41 × 56,935.41
  4. Step 4: Simplify right side
    35,982.56x = 3,241,640,484.85
  5. Step 5: Solve for x
    x = 3,241,640,484.85/35,982.56
  6. Step 6: Final answer
    x = 90,089.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.