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Finding the Third Proportional to 9,813 and 22,980

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Solution

The third proportional to 9,813 and 22,980 is: 53,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813 : 22,980 = 22,980 : x
  2. Step 2: Convert to fraction form
    9,813/22,980 = 22,980/x
  3. Step 3: Cross multiply
    9,813x = 22,980 × 22,980
  4. Step 4: Simplify right side
    9,813x = 528,080,400
  5. Step 5: Solve for x
    x = 528,080,400/9,813
  6. Step 6: Final answer
    x = 53,814.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.