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Finding the Third Proportional to 43,274.25 and 65,490.75

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Solution

The third proportional to 43,274.25 and 65,490.75 is: 99,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,274.25 : 65,490.75 = 65,490.75 : x
  2. Step 2: Convert to fraction form
    43,274.25/65,490.75 = 65,490.75/x
  3. Step 3: Cross multiply
    43,274.25x = 65,490.75 × 65,490.75
  4. Step 4: Simplify right side
    43,274.25x = 4,289,038,335.56
  5. Step 5: Solve for x
    x = 4,289,038,335.56/43,274.25
  6. Step 6: Final answer
    x = 99,112.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.