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Finding the Third Proportional to 9,969 and 21,897

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Solution

The third proportional to 9,969 and 21,897 is: 48,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969 : 21,897 = 21,897 : x
  2. Step 2: Convert to fraction form
    9,969/21,897 = 21,897/x
  3. Step 3: Cross multiply
    9,969x = 21,897 × 21,897
  4. Step 4: Simplify right side
    9,969x = 479,478,609
  5. Step 5: Solve for x
    x = 479,478,609/9,969
  6. Step 6: Final answer
    x = 48,096.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.