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Finding the Third Proportional to 17,880.75 and 34,134.75

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Solution

The third proportional to 17,880.75 and 34,134.75 is: 65,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.75 : 34,134.75 = 34,134.75 : x
  2. Step 2: Convert to fraction form
    17,880.75/34,134.75 = 34,134.75/x
  3. Step 3: Cross multiply
    17,880.75x = 34,134.75 × 34,134.75
  4. Step 4: Simplify right side
    17,880.75x = 1,165,181,157.56
  5. Step 5: Solve for x
    x = 1,165,181,157.56/17,880.75
  6. Step 6: Final answer
    x = 65,164.00

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.