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Finding the Third Proportional to 5,055.75 and 5,982.19

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Solution

The third proportional to 5,055.75 and 5,982.19 is: 7,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.75 : 5,982.19 = 5,982.19 : x
  2. Step 2: Convert to fraction form
    5,055.75/5,982.19 = 5,982.19/x
  3. Step 3: Cross multiply
    5,055.75x = 5,982.19 × 5,982.19
  4. Step 4: Simplify right side
    5,055.75x = 35,786,567.29
  5. Step 5: Solve for x
    x = 35,786,567.29/5,055.75
  6. Step 6: Final answer
    x = 7,078.39

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.