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Finding the Third Proportional to 5,899.08 and 8,118.35

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Solution

The third proportional to 5,899.08 and 8,118.35 is: 11,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.08 : 8,118.35 = 8,118.35 : x
  2. Step 2: Convert to fraction form
    5,899.08/8,118.35 = 8,118.35/x
  3. Step 3: Cross multiply
    5,899.08x = 8,118.35 × 8,118.35
  4. Step 4: Simplify right side
    5,899.08x = 65,907,632.09
  5. Step 5: Solve for x
    x = 65,907,632.09/5,899.08
  6. Step 6: Final answer
    x = 11,172.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.