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Finding the Third Proportional to 3,454 and 3,850

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Solution

The third proportional to 3,454 and 3,850 is: 4,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 3,850 = 3,850 : x
  2. Step 2: Convert to fraction form
    3,454/3,850 = 3,850/x
  3. Step 3: Cross multiply
    3,454x = 3,850 × 3,850
  4. Step 4: Simplify right side
    3,454x = 14,822,500
  5. Step 5: Solve for x
    x = 14,822,500/3,454
  6. Step 6: Final answer
    x = 4,291.40

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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.