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Finding the Third Proportional to 13,296 and 31,560

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Solution

The third proportional to 13,296 and 31,560 is: 74,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296 : 31,560 = 31,560 : x
  2. Step 2: Convert to fraction form
    13,296/31,560 = 31,560/x
  3. Step 3: Cross multiply
    13,296x = 31,560 × 31,560
  4. Step 4: Simplify right side
    13,296x = 996,033,600
  5. Step 5: Solve for x
    x = 996,033,600/13,296
  6. Step 6: Final answer
    x = 74,912.27

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.