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Finding the Third Proportional to 1,965 and 4,254

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Solution

The third proportional to 1,965 and 4,254 is: 9,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965 : 4,254 = 4,254 : x
  2. Step 2: Convert to fraction form
    1,965/4,254 = 4,254/x
  3. Step 3: Cross multiply
    1,965x = 4,254 × 4,254
  4. Step 4: Simplify right side
    1,965x = 18,096,516
  5. Step 5: Solve for x
    x = 18,096,516/1,965
  6. Step 6: Final answer
    x = 9,209.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.