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Finding the Third Proportional to 9,522 and 14,824

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Solution

The third proportional to 9,522 and 14,824 is: 23,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522 : 14,824 = 14,824 : x
  2. Step 2: Convert to fraction form
    9,522/14,824 = 14,824/x
  3. Step 3: Cross multiply
    9,522x = 14,824 × 14,824
  4. Step 4: Simplify right side
    9,522x = 219,750,976
  5. Step 5: Solve for x
    x = 219,750,976/9,522
  6. Step 6: Final answer
    x = 23,078.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.