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Finding the Third Proportional to 4,228.77 and 9,969.64

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Solution

The third proportional to 4,228.77 and 9,969.64 is: 23,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.77 : 9,969.64 = 9,969.64 : x
  2. Step 2: Convert to fraction form
    4,228.77/9,969.64 = 9,969.64/x
  3. Step 3: Cross multiply
    4,228.77x = 9,969.64 × 9,969.64
  4. Step 4: Simplify right side
    4,228.77x = 99,393,812.08
  5. Step 5: Solve for x
    x = 99,393,812.08/4,228.77
  6. Step 6: Final answer
    x = 23,504.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.