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Finding the Third Proportional to 1,701 and 3,729

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Solution

The third proportional to 1,701 and 3,729 is: 8,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701 : 3,729 = 3,729 : x
  2. Step 2: Convert to fraction form
    1,701/3,729 = 3,729/x
  3. Step 3: Cross multiply
    1,701x = 3,729 × 3,729
  4. Step 4: Simplify right side
    1,701x = 13,905,441
  5. Step 5: Solve for x
    x = 13,905,441/1,701
  6. Step 6: Final answer
    x = 8,174.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.