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Finding the Third Proportional to 43,540.25 and 65,141.63

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Solution

The third proportional to 43,540.25 and 65,141.63 is: 97,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,540.25 : 65,141.63 = 65,141.63 : x
  2. Step 2: Convert to fraction form
    43,540.25/65,141.63 = 65,141.63/x
  3. Step 3: Cross multiply
    43,540.25x = 65,141.63 × 65,141.63
  4. Step 4: Simplify right side
    43,540.25x = 4,243,431,307.64
  5. Step 5: Solve for x
    x = 4,243,431,307.64/43,540.25
  6. Step 6: Final answer
    x = 97,459.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.