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Finding the Third Proportional to 6,990.25 and 10,575.38

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Solution

The third proportional to 6,990.25 and 10,575.38 is: 15,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.25 : 10,575.38 = 10,575.38 : x
  2. Step 2: Convert to fraction form
    6,990.25/10,575.38 = 10,575.38/x
  3. Step 3: Cross multiply
    6,990.25x = 10,575.38 × 10,575.38
  4. Step 4: Simplify right side
    6,990.25x = 111,838,556.39
  5. Step 5: Solve for x
    x = 111,838,556.39/6,990.25
  6. Step 6: Final answer
    x = 15,999.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.