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Finding the Third Proportional to 6,967.27 and 9,980.09

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Solution

The third proportional to 6,967.27 and 9,980.09 is: 14,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.27 : 9,980.09 = 9,980.09 : x
  2. Step 2: Convert to fraction form
    6,967.27/9,980.09 = 9,980.09/x
  3. Step 3: Cross multiply
    6,967.27x = 9,980.09 × 9,980.09
  4. Step 4: Simplify right side
    6,967.27x = 99,602,115.32
  5. Step 5: Solve for x
    x = 99,602,115.32/6,967.27
  6. Step 6: Final answer
    x = 14,295.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.