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Finding the Third Proportional to 4,719.94 and 11,023.59

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Solution

The third proportional to 4,719.94 and 11,023.59 is: 25,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.94 : 11,023.59 = 11,023.59 : x
  2. Step 2: Convert to fraction form
    4,719.94/11,023.59 = 11,023.59/x
  3. Step 3: Cross multiply
    4,719.94x = 11,023.59 × 11,023.59
  4. Step 4: Simplify right side
    4,719.94x = 121,519,619.17
  5. Step 5: Solve for x
    x = 121,519,619.17/4,719.94
  6. Step 6: Final answer
    x = 25,746.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.