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Finding the Third Proportional to 6,092.25 and 13,325.25

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Solution

The third proportional to 6,092.25 and 13,325.25 is: 29,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.25 : 13,325.25 = 13,325.25 : x
  2. Step 2: Convert to fraction form
    6,092.25/13,325.25 = 13,325.25/x
  3. Step 3: Cross multiply
    6,092.25x = 13,325.25 × 13,325.25
  4. Step 4: Simplify right side
    6,092.25x = 177,562,287.56
  5. Step 5: Solve for x
    x = 177,562,287.56/6,092.25
  6. Step 6: Final answer
    x = 29,145.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.