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Finding the Third Proportional to 2,657 and 4,028

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Solution

The third proportional to 2,657 and 4,028 is: 6,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657 : 4,028 = 4,028 : x
  2. Step 2: Convert to fraction form
    2,657/4,028 = 4,028/x
  3. Step 3: Cross multiply
    2,657x = 4,028 × 4,028
  4. Step 4: Simplify right side
    2,657x = 16,224,784
  5. Step 5: Solve for x
    x = 16,224,784/2,657
  6. Step 6: Final answer
    x = 6,106.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.