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Finding the Third Proportional to 1,963 and 4,235

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Solution

The third proportional to 1,963 and 4,235 is: 9,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963 : 4,235 = 4,235 : x
  2. Step 2: Convert to fraction form
    1,963/4,235 = 4,235/x
  3. Step 3: Cross multiply
    1,963x = 4,235 × 4,235
  4. Step 4: Simplify right side
    1,963x = 17,935,225
  5. Step 5: Solve for x
    x = 17,935,225/1,963
  6. Step 6: Final answer
    x = 9,136.64

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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.