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Finding the Third Proportional to 27,100.50 and 40,416.75

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Solution

The third proportional to 27,100.50 and 40,416.75 is: 60,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.50 : 40,416.75 = 40,416.75 : x
  2. Step 2: Convert to fraction form
    27,100.50/40,416.75 = 40,416.75/x
  3. Step 3: Cross multiply
    27,100.50x = 40,416.75 × 40,416.75
  4. Step 4: Simplify right side
    27,100.50x = 1,633,513,680.56
  5. Step 5: Solve for x
    x = 1,633,513,680.56/27,100.50
  6. Step 6: Final answer
    x = 60,276.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.