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Finding the Third Proportional to 3,509 and 3,797

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Solution

The third proportional to 3,509 and 3,797 is: 4,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509 : 3,797 = 3,797 : x
  2. Step 2: Convert to fraction form
    3,509/3,797 = 3,797/x
  3. Step 3: Cross multiply
    3,509x = 3,797 × 3,797
  4. Step 4: Simplify right side
    3,509x = 14,417,209
  5. Step 5: Solve for x
    x = 14,417,209/3,509
  6. Step 6: Final answer
    x = 4,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.