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Finding the Third Proportional to 7,836 and 12,232

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Solution

The third proportional to 7,836 and 12,232 is: 19,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 12,232 = 12,232 : x
  2. Step 2: Convert to fraction form
    7,836/12,232 = 12,232/x
  3. Step 3: Cross multiply
    7,836x = 12,232 × 12,232
  4. Step 4: Simplify right side
    7,836x = 149,621,824
  5. Step 5: Solve for x
    x = 149,621,824/7,836
  6. Step 6: Final answer
    x = 19,094.16

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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.