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Finding the Third Proportional to 9,822 and 11,820

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Solution

The third proportional to 9,822 and 11,820 is: 14,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 11,820 = 11,820 : x
  2. Step 2: Convert to fraction form
    9,822/11,820 = 11,820/x
  3. Step 3: Cross multiply
    9,822x = 11,820 × 11,820
  4. Step 4: Simplify right side
    9,822x = 139,712,400
  5. Step 5: Solve for x
    x = 139,712,400/9,822
  6. Step 6: Final answer
    x = 14,224.43

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.