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Finding the Third Proportional to 4,205.25 and 9,905.63

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Solution

The third proportional to 4,205.25 and 9,905.63 is: 23,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.25 : 9,905.63 = 9,905.63 : x
  2. Step 2: Convert to fraction form
    4,205.25/9,905.63 = 9,905.63/x
  3. Step 3: Cross multiply
    4,205.25x = 9,905.63 × 9,905.63
  4. Step 4: Simplify right side
    4,205.25x = 98,121,406.64
  5. Step 5: Solve for x
    x = 98,121,406.64/4,205.25
  6. Step 6: Final answer
    x = 23,333.07

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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.