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Finding the Third Proportional to 3,333.89 and 7,184.64

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Solution

The third proportional to 3,333.89 and 7,184.64 is: 15,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.89 : 7,184.64 = 7,184.64 : x
  2. Step 2: Convert to fraction form
    3,333.89/7,184.64 = 7,184.64/x
  3. Step 3: Cross multiply
    3,333.89x = 7,184.64 × 7,184.64
  4. Step 4: Simplify right side
    3,333.89x = 51,619,004.78
  5. Step 5: Solve for x
    x = 51,619,004.78/3,333.89
  6. Step 6: Final answer
    x = 15,483.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.