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Finding the Third Proportional to 9,855 and 21,531

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Solution

The third proportional to 9,855 and 21,531 is: 47,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855 : 21,531 = 21,531 : x
  2. Step 2: Convert to fraction form
    9,855/21,531 = 21,531/x
  3. Step 3: Cross multiply
    9,855x = 21,531 × 21,531
  4. Step 4: Simplify right side
    9,855x = 463,583,961
  5. Step 5: Solve for x
    x = 463,583,961/9,855
  6. Step 6: Final answer
    x = 47,040.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.