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Finding the Third Proportional to 10,698 and 18,901

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Solution

The third proportional to 10,698 and 18,901 is: 33,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698 : 18,901 = 18,901 : x
  2. Step 2: Convert to fraction form
    10,698/18,901 = 18,901/x
  3. Step 3: Cross multiply
    10,698x = 18,901 × 18,901
  4. Step 4: Simplify right side
    10,698x = 357,247,801
  5. Step 5: Solve for x
    x = 357,247,801/10,698
  6. Step 6: Final answer
    x = 33,393.89

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.