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Finding the Third Proportional to 9,821 and 11,453

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Solution

The third proportional to 9,821 and 11,453 is: 13,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821 : 11,453 = 11,453 : x
  2. Step 2: Convert to fraction form
    9,821/11,453 = 11,453/x
  3. Step 3: Cross multiply
    9,821x = 11,453 × 11,453
  4. Step 4: Simplify right side
    9,821x = 131,171,209
  5. Step 5: Solve for x
    x = 131,171,209/9,821
  6. Step 6: Final answer
    x = 13,356.20

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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.