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Finding the Third Proportional to 3,384.75 and 5,076.94

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Solution

The third proportional to 3,384.75 and 5,076.94 is: 7,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.75 : 5,076.94 = 5,076.94 : x
  2. Step 2: Convert to fraction form
    3,384.75/5,076.94 = 5,076.94/x
  3. Step 3: Cross multiply
    3,384.75x = 5,076.94 × 5,076.94
  4. Step 4: Simplify right side
    3,384.75x = 25,775,294.38
  5. Step 5: Solve for x
    x = 25,775,294.38/3,384.75
  6. Step 6: Final answer
    x = 7,615.13

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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.