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Finding the Third Proportional to 1,965 and 4,371

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Solution

The third proportional to 1,965 and 4,371 is: 9,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965 : 4,371 = 4,371 : x
  2. Step 2: Convert to fraction form
    1,965/4,371 = 4,371/x
  3. Step 3: Cross multiply
    1,965x = 4,371 × 4,371
  4. Step 4: Simplify right side
    1,965x = 19,105,641
  5. Step 5: Solve for x
    x = 19,105,641/1,965
  6. Step 6: Final answer
    x = 9,722.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.