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Finding the Third Proportional to 1,657 and 3,673

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Solution

The third proportional to 1,657 and 3,673 is: 8,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 3,673 = 3,673 : x
  2. Step 2: Convert to fraction form
    1,657/3,673 = 3,673/x
  3. Step 3: Cross multiply
    1,657x = 3,673 × 3,673
  4. Step 4: Simplify right side
    1,657x = 13,490,929
  5. Step 5: Solve for x
    x = 13,490,929/1,657
  6. Step 6: Final answer
    x = 8,141.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.