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Finding the Third Proportional to 3,465 and 3,861

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Solution

The third proportional to 3,465 and 3,861 is: 4,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 3,861 = 3,861 : x
  2. Step 2: Convert to fraction form
    3,465/3,861 = 3,861/x
  3. Step 3: Cross multiply
    3,465x = 3,861 × 3,861
  4. Step 4: Simplify right side
    3,465x = 14,907,321
  5. Step 5: Solve for x
    x = 14,907,321/3,465
  6. Step 6: Final answer
    x = 4,302.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.