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Finding the Third Proportional to 3,030.75 and 7,014.38

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Solution

The third proportional to 3,030.75 and 7,014.38 is: 16,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.75 : 7,014.38 = 7,014.38 : x
  2. Step 2: Convert to fraction form
    3,030.75/7,014.38 = 7,014.38/x
  3. Step 3: Cross multiply
    3,030.75x = 7,014.38 × 7,014.38
  4. Step 4: Simplify right side
    3,030.75x = 49,201,456.64
  5. Step 5: Solve for x
    x = 49,201,456.64/3,030.75
  6. Step 6: Final answer
    x = 16,234.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.