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Finding the Third Proportional to 27,880.45 and 43,185.66

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Solution

The third proportional to 27,880.45 and 43,185.66 is: 66,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880.45 : 43,185.66 = 43,185.66 : x
  2. Step 2: Convert to fraction form
    27,880.45/43,185.66 = 43,185.66/x
  3. Step 3: Cross multiply
    27,880.45x = 43,185.66 × 43,185.66
  4. Step 4: Simplify right side
    27,880.45x = 1,865,000,905.74
  5. Step 5: Solve for x
    x = 1,865,000,905.74/27,880.45
  6. Step 6: Final answer
    x = 66,892.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.