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Finding the Third Proportional to 3,983.63 and 8,665.88

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Solution

The third proportional to 3,983.63 and 8,665.88 is: 18,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.63 : 8,665.88 = 8,665.88 : x
  2. Step 2: Convert to fraction form
    3,983.63/8,665.88 = 8,665.88/x
  3. Step 3: Cross multiply
    3,983.63x = 8,665.88 × 8,665.88
  4. Step 4: Simplify right side
    3,983.63x = 75,097,389.52
  5. Step 5: Solve for x
    x = 75,097,389.52/3,983.63
  6. Step 6: Final answer
    x = 18,851.52

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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.