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Finding the Third Proportional to 2,904.75 and 6,296.25

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Solution

The third proportional to 2,904.75 and 6,296.25 is: 13,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.75 : 6,296.25 = 6,296.25 : x
  2. Step 2: Convert to fraction form
    2,904.75/6,296.25 = 6,296.25/x
  3. Step 3: Cross multiply
    2,904.75x = 6,296.25 × 6,296.25
  4. Step 4: Simplify right side
    2,904.75x = 39,642,764.06
  5. Step 5: Solve for x
    x = 39,642,764.06/2,904.75
  6. Step 6: Final answer
    x = 13,647.56

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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.