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Finding the Third Proportional to 5,406.75 and 6,204.09

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Solution

The third proportional to 5,406.75 and 6,204.09 is: 7,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 6,204.09 = 6,204.09 : x
  2. Step 2: Convert to fraction form
    5,406.75/6,204.09 = 6,204.09/x
  3. Step 3: Cross multiply
    5,406.75x = 6,204.09 × 6,204.09
  4. Step 4: Simplify right side
    5,406.75x = 38,490,779.26
  5. Step 5: Solve for x
    x = 38,490,779.26/5,406.75
  6. Step 6: Final answer
    x = 7,119.02

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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.