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Finding the Third Proportional to 9,800 and 16,260

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Solution

The third proportional to 9,800 and 16,260 is: 26,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800 : 16,260 = 16,260 : x
  2. Step 2: Convert to fraction form
    9,800/16,260 = 16,260/x
  3. Step 3: Cross multiply
    9,800x = 16,260 × 16,260
  4. Step 4: Simplify right side
    9,800x = 264,387,600
  5. Step 5: Solve for x
    x = 264,387,600/9,800
  6. Step 6: Final answer
    x = 26,978.33

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.