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Finding the Third Proportional to 4,699.69 and 5,406.75

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Solution

The third proportional to 4,699.69 and 5,406.75 is: 6,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.69 : 5,406.75 = 5,406.75 : x
  2. Step 2: Convert to fraction form
    4,699.69/5,406.75 = 5,406.75/x
  3. Step 3: Cross multiply
    4,699.69x = 5,406.75 × 5,406.75
  4. Step 4: Simplify right side
    4,699.69x = 29,232,945.56
  5. Step 5: Solve for x
    x = 29,232,945.56/4,699.69
  6. Step 6: Final answer
    x = 6,220.19

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.