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Finding the Third Proportional to 7,698 and 16,203

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Solution

The third proportional to 7,698 and 16,203 is: 34,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698 : 16,203 = 16,203 : x
  2. Step 2: Convert to fraction form
    7,698/16,203 = 16,203/x
  3. Step 3: Cross multiply
    7,698x = 16,203 × 16,203
  4. Step 4: Simplify right side
    7,698x = 262,537,209
  5. Step 5: Solve for x
    x = 262,537,209/7,698
  6. Step 6: Final answer
    x = 34,104.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.