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Finding the Third Proportional to 5,239.69 and 7,014.09

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Solution

The third proportional to 5,239.69 and 7,014.09 is: 9,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.69 : 7,014.09 = 7,014.09 : x
  2. Step 2: Convert to fraction form
    5,239.69/7,014.09 = 7,014.09/x
  3. Step 3: Cross multiply
    5,239.69x = 7,014.09 × 7,014.09
  4. Step 4: Simplify right side
    5,239.69x = 49,197,511.13
  5. Step 5: Solve for x
    x = 49,197,511.13/5,239.69
  6. Step 6: Final answer
    x = 9,389.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.