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Finding the Third Proportional to 4,442.25 and 9,567.75

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Solution

The third proportional to 4,442.25 and 9,567.75 is: 20,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.25 : 9,567.75 = 9,567.75 : x
  2. Step 2: Convert to fraction form
    4,442.25/9,567.75 = 9,567.75/x
  3. Step 3: Cross multiply
    4,442.25x = 9,567.75 × 9,567.75
  4. Step 4: Simplify right side
    4,442.25x = 91,541,840.06
  5. Step 5: Solve for x
    x = 91,541,840.06/4,442.25
  6. Step 6: Final answer
    x = 20,607.09

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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.