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Finding the Third Proportional to 6,369.75 and 7,166.25

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Solution

The third proportional to 6,369.75 and 7,166.25 is: 8,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.75 : 7,166.25 = 7,166.25 : x
  2. Step 2: Convert to fraction form
    6,369.75/7,166.25 = 7,166.25/x
  3. Step 3: Cross multiply
    6,369.75x = 7,166.25 × 7,166.25
  4. Step 4: Simplify right side
    6,369.75x = 51,355,139.06
  5. Step 5: Solve for x
    x = 51,355,139.06/6,369.75
  6. Step 6: Final answer
    x = 8,062.35

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.