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Finding the Third Proportional to 11,700.28 and 25,074.56

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Solution

The third proportional to 11,700.28 and 25,074.56 is: 53,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.28 : 25,074.56 = 25,074.56 : x
  2. Step 2: Convert to fraction form
    11,700.28/25,074.56 = 25,074.56/x
  3. Step 3: Cross multiply
    11,700.28x = 25,074.56 × 25,074.56
  4. Step 4: Simplify right side
    11,700.28x = 628,733,684.57
  5. Step 5: Solve for x
    x = 628,733,684.57/11,700.28
  6. Step 6: Final answer
    x = 53,736.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.