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Finding the Third Proportional to 2,256.75 and 5,756.63

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Solution

The third proportional to 2,256.75 and 5,756.63 is: 14,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.75 : 5,756.63 = 5,756.63 : x
  2. Step 2: Convert to fraction form
    2,256.75/5,756.63 = 5,756.63/x
  3. Step 3: Cross multiply
    2,256.75x = 5,756.63 × 5,756.63
  4. Step 4: Simplify right side
    2,256.75x = 33,138,731.39
  5. Step 5: Solve for x
    x = 33,138,731.39/2,256.75
  6. Step 6: Final answer
    x = 14,684.27

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.