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Finding the Third Proportional to 4,383.75 and 9,473.25

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Solution

The third proportional to 4,383.75 and 9,473.25 is: 20,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.75 : 9,473.25 = 9,473.25 : x
  2. Step 2: Convert to fraction form
    4,383.75/9,473.25 = 9,473.25/x
  3. Step 3: Cross multiply
    4,383.75x = 9,473.25 × 9,473.25
  4. Step 4: Simplify right side
    4,383.75x = 89,742,465.56
  5. Step 5: Solve for x
    x = 89,742,465.56/4,383.75
  6. Step 6: Final answer
    x = 20,471.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.