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Finding the Third Proportional to 11,968 and 13,312

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Solution

The third proportional to 11,968 and 13,312 is: 14,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968 : 13,312 = 13,312 : x
  2. Step 2: Convert to fraction form
    11,968/13,312 = 13,312/x
  3. Step 3: Cross multiply
    11,968x = 13,312 × 13,312
  4. Step 4: Simplify right side
    11,968x = 177,209,344
  5. Step 5: Solve for x
    x = 177,209,344/11,968
  6. Step 6: Final answer
    x = 14,806.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.