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Finding the Third Proportional to 2,883.94 and 6,206.63

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Solution

The third proportional to 2,883.94 and 6,206.63 is: 13,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.94 : 6,206.63 = 6,206.63 : x
  2. Step 2: Convert to fraction form
    2,883.94/6,206.63 = 6,206.63/x
  3. Step 3: Cross multiply
    2,883.94x = 6,206.63 × 6,206.63
  4. Step 4: Simplify right side
    2,883.94x = 38,522,193.89
  5. Step 5: Solve for x
    x = 38,522,193.89/2,883.94
  6. Step 6: Final answer
    x = 13,357.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.