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Finding the Third Proportional to 1,657 and 2,256

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Solution

The third proportional to 1,657 and 2,256 is: 3,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 2,256 = 2,256 : x
  2. Step 2: Convert to fraction form
    1,657/2,256 = 2,256/x
  3. Step 3: Cross multiply
    1,657x = 2,256 × 2,256
  4. Step 4: Simplify right side
    1,657x = 5,089,536
  5. Step 5: Solve for x
    x = 5,089,536/1,657
  6. Step 6: Final answer
    x = 3,071.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.