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Finding the Third Proportional to 2,255.63 and 6,063.75

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Solution

The third proportional to 2,255.63 and 6,063.75 is: 16,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.63 : 6,063.75 = 6,063.75 : x
  2. Step 2: Convert to fraction form
    2,255.63/6,063.75 = 6,063.75/x
  3. Step 3: Cross multiply
    2,255.63x = 6,063.75 × 6,063.75
  4. Step 4: Simplify right side
    2,255.63x = 36,769,064.06
  5. Step 5: Solve for x
    x = 36,769,064.06/2,255.63
  6. Step 6: Final answer
    x = 16,301.05

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.