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Finding the Third Proportional to 16,197.75 and 35,397

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Solution

The third proportional to 16,197.75 and 35,397 is: 77,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.75 : 35,397 = 35,397 : x
  2. Step 2: Convert to fraction form
    16,197.75/35,397 = 35,397/x
  3. Step 3: Cross multiply
    16,197.75x = 35,397 × 35,397
  4. Step 4: Simplify right side
    16,197.75x = 1,252,947,609
  5. Step 5: Solve for x
    x = 1,252,947,609/16,197.75
  6. Step 6: Final answer
    x = 77,353.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.