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Finding the Third Proportional to 9,800 and 14,897

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Solution

The third proportional to 9,800 and 14,897 is: 22,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800 : 14,897 = 14,897 : x
  2. Step 2: Convert to fraction form
    9,800/14,897 = 14,897/x
  3. Step 3: Cross multiply
    9,800x = 14,897 × 14,897
  4. Step 4: Simplify right side
    9,800x = 221,920,609
  5. Step 5: Solve for x
    x = 221,920,609/9,800
  6. Step 6: Final answer
    x = 22,644.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.