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Finding the Third Proportional to 2,883.09 and 6,643.27

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Solution

The third proportional to 2,883.09 and 6,643.27 is: 15,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.09 : 6,643.27 = 6,643.27 : x
  2. Step 2: Convert to fraction form
    2,883.09/6,643.27 = 6,643.27/x
  3. Step 3: Cross multiply
    2,883.09x = 6,643.27 × 6,643.27
  4. Step 4: Simplify right side
    2,883.09x = 44,132,978.16
  5. Step 5: Solve for x
    x = 44,132,978.16/2,883.09
  6. Step 6: Final answer
    x = 15,307.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.