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Finding the Third Proportional to 6,693.75 and 10,020.38

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Solution

The third proportional to 6,693.75 and 10,020.38 is: 15,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.75 : 10,020.38 = 10,020.38 : x
  2. Step 2: Convert to fraction form
    6,693.75/10,020.38 = 10,020.38/x
  3. Step 3: Cross multiply
    6,693.75x = 10,020.38 × 10,020.38
  4. Step 4: Simplify right side
    6,693.75x = 100,407,915.14
  5. Step 5: Solve for x
    x = 100,407,915.14/6,693.75
  6. Step 6: Final answer
    x = 15,000.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.