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Finding the Third Proportional to 2,256.75 and 4,190.63

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Solution

The third proportional to 2,256.75 and 4,190.63 is: 7,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.75 : 4,190.63 = 4,190.63 : x
  2. Step 2: Convert to fraction form
    2,256.75/4,190.63 = 4,190.63/x
  3. Step 3: Cross multiply
    2,256.75x = 4,190.63 × 4,190.63
  4. Step 4: Simplify right side
    2,256.75x = 17,561,337.89
  5. Step 5: Solve for x
    x = 17,561,337.89/2,256.75
  6. Step 6: Final answer
    x = 7,781.69

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.