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Finding the Third Proportional to 27,744.63 and 61,144.50

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Solution

The third proportional to 27,744.63 and 61,144.50 is: 134,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.63 : 61,144.50 = 61,144.50 : x
  2. Step 2: Convert to fraction form
    27,744.63/61,144.50 = 61,144.50/x
  3. Step 3: Cross multiply
    27,744.63x = 61,144.50 × 61,144.50
  4. Step 4: Simplify right side
    27,744.63x = 3,738,649,880.25
  5. Step 5: Solve for x
    x = 3,738,649,880.25/27,744.63
  6. Step 6: Final answer
    x = 134,752.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.