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Finding the Third Proportional to 8,397 and 9,783

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Solution

The third proportional to 8,397 and 9,783 is: 11,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397 : 9,783 = 9,783 : x
  2. Step 2: Convert to fraction form
    8,397/9,783 = 9,783/x
  3. Step 3: Cross multiply
    8,397x = 9,783 × 9,783
  4. Step 4: Simplify right side
    8,397x = 95,707,089
  5. Step 5: Solve for x
    x = 95,707,089/8,397
  6. Step 6: Final answer
    x = 11,397.77

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.