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Finding the Third Proportional to 19,596 and 35,302

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Solution

The third proportional to 19,596 and 35,302 is: 63,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596 : 35,302 = 35,302 : x
  2. Step 2: Convert to fraction form
    19,596/35,302 = 35,302/x
  3. Step 3: Cross multiply
    19,596x = 35,302 × 35,302
  4. Step 4: Simplify right side
    19,596x = 1,246,231,204
  5. Step 5: Solve for x
    x = 1,246,231,204/19,596
  6. Step 6: Final answer
    x = 63,596.20

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.