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Finding the Third Proportional to 6,987.94 and 7,899.19

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Solution

The third proportional to 6,987.94 and 7,899.19 is: 8,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.94 : 7,899.19 = 7,899.19 : x
  2. Step 2: Convert to fraction form
    6,987.94/7,899.19 = 7,899.19/x
  3. Step 3: Cross multiply
    6,987.94x = 7,899.19 × 7,899.19
  4. Step 4: Simplify right side
    6,987.94x = 62,397,163.16
  5. Step 5: Solve for x
    x = 62,397,163.16/6,987.94
  6. Step 6: Final answer
    x = 8,929.27

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.