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Finding the Third Proportional to 16,393 and 33,953

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Solution

The third proportional to 16,393 and 33,953 is: 70,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393 : 33,953 = 33,953 : x
  2. Step 2: Convert to fraction form
    16,393/33,953 = 33,953/x
  3. Step 3: Cross multiply
    16,393x = 33,953 × 33,953
  4. Step 4: Simplify right side
    16,393x = 1,152,806,209
  5. Step 5: Solve for x
    x = 1,152,806,209/16,393
  6. Step 6: Final answer
    x = 70,323.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.