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Finding the Third Proportional to 47,086.31 and 65,858.06

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Solution

The third proportional to 47,086.31 and 65,858.06 is: 92,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,086.31 : 65,858.06 = 65,858.06 : x
  2. Step 2: Convert to fraction form
    47,086.31/65,858.06 = 65,858.06/x
  3. Step 3: Cross multiply
    47,086.31x = 65,858.06 × 65,858.06
  4. Step 4: Simplify right side
    47,086.31x = 4,337,284,396.25
  5. Step 5: Solve for x
    x = 4,337,284,396.25/47,086.31
  6. Step 6: Final answer
    x = 92,113.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.