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Finding the Third Proportional to 3,980.81 and 8,690.63

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Solution

The third proportional to 3,980.81 and 8,690.63 is: 18,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.81 : 8,690.63 = 8,690.63 : x
  2. Step 2: Convert to fraction form
    3,980.81/8,690.63 = 8,690.63/x
  3. Step 3: Cross multiply
    3,980.81x = 8,690.63 × 8,690.63
  4. Step 4: Simplify right side
    3,980.81x = 75,526,962.89
  5. Step 5: Solve for x
    x = 75,526,962.89/3,980.81
  6. Step 6: Final answer
    x = 18,972.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.