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Finding the Third Proportional to 7,270 and 9,823

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Solution

The third proportional to 7,270 and 9,823 is: 13,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270 : 9,823 = 9,823 : x
  2. Step 2: Convert to fraction form
    7,270/9,823 = 9,823/x
  3. Step 3: Cross multiply
    7,270x = 9,823 × 9,823
  4. Step 4: Simplify right side
    7,270x = 96,491,329
  5. Step 5: Solve for x
    x = 96,491,329/7,270
  6. Step 6: Final answer
    x = 13,272.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.