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Finding the Third Proportional to 4,335.75 and 9,354.25

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Solution

The third proportional to 4,335.75 and 9,354.25 is: 20,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.75 : 9,354.25 = 9,354.25 : x
  2. Step 2: Convert to fraction form
    4,335.75/9,354.25 = 9,354.25/x
  3. Step 3: Cross multiply
    4,335.75x = 9,354.25 × 9,354.25
  4. Step 4: Simplify right side
    4,335.75x = 87,501,993.06
  5. Step 5: Solve for x
    x = 87,501,993.06/4,335.75
  6. Step 6: Final answer
    x = 20,181.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.