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Finding the Third Proportional to 1,635 and 3,429

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Solution

The third proportional to 1,635 and 3,429 is: 7,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635 : 3,429 = 3,429 : x
  2. Step 2: Convert to fraction form
    1,635/3,429 = 3,429/x
  3. Step 3: Cross multiply
    1,635x = 3,429 × 3,429
  4. Step 4: Simplify right side
    1,635x = 11,758,041
  5. Step 5: Solve for x
    x = 11,758,041/1,635
  6. Step 6: Final answer
    x = 7,191.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.