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Finding the Third Proportional to 5,636.25 and 6,230.25

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Solution

The third proportional to 5,636.25 and 6,230.25 is: 6,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.25 : 6,230.25 = 6,230.25 : x
  2. Step 2: Convert to fraction form
    5,636.25/6,230.25 = 6,230.25/x
  3. Step 3: Cross multiply
    5,636.25x = 6,230.25 × 6,230.25
  4. Step 4: Simplify right side
    5,636.25x = 38,816,015.06
  5. Step 5: Solve for x
    x = 38,816,015.06/5,636.25
  6. Step 6: Final answer
    x = 6,886.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.