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Finding the Third Proportional to 1,700 and 3,657

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Solution

The third proportional to 1,700 and 3,657 is: 7,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700 : 3,657 = 3,657 : x
  2. Step 2: Convert to fraction form
    1,700/3,657 = 3,657/x
  3. Step 3: Cross multiply
    1,700x = 3,657 × 3,657
  4. Step 4: Simplify right side
    1,700x = 13,373,649
  5. Step 5: Solve for x
    x = 13,373,649/1,700
  6. Step 6: Final answer
    x = 7,866.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.