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Finding the Third Proportional to 2,120.87 and 4,583.14

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Solution

The third proportional to 2,120.87 and 4,583.14 is: 9,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.87 : 4,583.14 = 4,583.14 : x
  2. Step 2: Convert to fraction form
    2,120.87/4,583.14 = 4,583.14/x
  3. Step 3: Cross multiply
    2,120.87x = 4,583.14 × 4,583.14
  4. Step 4: Simplify right side
    2,120.87x = 21,005,213.79
  5. Step 5: Solve for x
    x = 21,005,213.79/2,120.87
  6. Step 6: Final answer
    x = 9,904.05

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Why These Related Problems?

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