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Finding the Third Proportional to 4,114.69 and 6,273.28

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Solution

The third proportional to 4,114.69 and 6,273.28 is: 9,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.69 : 6,273.28 = 6,273.28 : x
  2. Step 2: Convert to fraction form
    4,114.69/6,273.28 = 6,273.28/x
  3. Step 3: Cross multiply
    4,114.69x = 6,273.28 × 6,273.28
  4. Step 4: Simplify right side
    4,114.69x = 39,354,057.64
  5. Step 5: Solve for x
    x = 39,354,057.64/4,114.69
  6. Step 6: Final answer
    x = 9,564.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.