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Finding the Third Proportional to 2,907.19 and 6,296.81

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Solution

The third proportional to 2,907.19 and 6,296.81 is: 13,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.19 : 6,296.81 = 6,296.81 : x
  2. Step 2: Convert to fraction form
    2,907.19/6,296.81 = 6,296.81/x
  3. Step 3: Cross multiply
    2,907.19x = 6,296.81 × 6,296.81
  4. Step 4: Simplify right side
    2,907.19x = 39,649,847.66
  5. Step 5: Solve for x
    x = 39,649,847.66/2,907.19
  6. Step 6: Final answer
    x = 13,638.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.