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Finding the Third Proportional to 4,719.52 and 9,742.78

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Solution

The third proportional to 4,719.52 and 9,742.78 is: 20,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.52 : 9,742.78 = 9,742.78 : x
  2. Step 2: Convert to fraction form
    4,719.52/9,742.78 = 9,742.78/x
  3. Step 3: Cross multiply
    4,719.52x = 9,742.78 × 9,742.78
  4. Step 4: Simplify right side
    4,719.52x = 94,921,786.49
  5. Step 5: Solve for x
    x = 94,921,786.49/4,719.52
  6. Step 6: Final answer
    x = 20,112.61

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.