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Finding the Third Proportional to 4,313.81 and 9,242.44

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Solution

The third proportional to 4,313.81 and 9,242.44 is: 19,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.81 : 9,242.44 = 9,242.44 : x
  2. Step 2: Convert to fraction form
    4,313.81/9,242.44 = 9,242.44/x
  3. Step 3: Cross multiply
    4,313.81x = 9,242.44 × 9,242.44
  4. Step 4: Simplify right side
    4,313.81x = 85,422,650.94
  5. Step 5: Solve for x
    x = 85,422,650.94/4,313.81
  6. Step 6: Final answer
    x = 19,802.12

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Why These Related Problems?

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