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Finding the Third Proportional to 9,822 and 14,823

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Solution

The third proportional to 9,822 and 14,823 is: 22,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,823 = 14,823 : x
  2. Step 2: Convert to fraction form
    9,822/14,823 = 14,823/x
  3. Step 3: Cross multiply
    9,822x = 14,823 × 14,823
  4. Step 4: Simplify right side
    9,822x = 219,721,329
  5. Step 5: Solve for x
    x = 219,721,329/9,822
  6. Step 6: Final answer
    x = 22,370.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.