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Finding the Third Proportional to 4,441.88 and 9,567.38

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Solution

The third proportional to 4,441.88 and 9,567.38 is: 20,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.88 : 9,567.38 = 9,567.38 : x
  2. Step 2: Convert to fraction form
    4,441.88/9,567.38 = 9,567.38/x
  3. Step 3: Cross multiply
    4,441.88x = 9,567.38 × 9,567.38
  4. Step 4: Simplify right side
    4,441.88x = 91,534,664.39
  5. Step 5: Solve for x
    x = 91,534,664.39/4,441.88
  6. Step 6: Final answer
    x = 20,607.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.