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Finding the Third Proportional to 1,603 and 3,787

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Solution

The third proportional to 1,603 and 3,787 is: 8,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603 : 3,787 = 3,787 : x
  2. Step 2: Convert to fraction form
    1,603/3,787 = 3,787/x
  3. Step 3: Cross multiply
    1,603x = 3,787 × 3,787
  4. Step 4: Simplify right side
    1,603x = 14,341,369
  5. Step 5: Solve for x
    x = 14,341,369/1,603
  6. Step 6: Final answer
    x = 8,946.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.