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Finding the Third Proportional to 12,696.75 and 20,368.13

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Solution

The third proportional to 12,696.75 and 20,368.13 is: 32,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.75 : 20,368.13 = 20,368.13 : x
  2. Step 2: Convert to fraction form
    12,696.75/20,368.13 = 20,368.13/x
  3. Step 3: Cross multiply
    12,696.75x = 20,368.13 × 20,368.13
  4. Step 4: Simplify right side
    12,696.75x = 414,860,516.02
  5. Step 5: Solve for x
    x = 414,860,516.02/12,696.75
  6. Step 6: Final answer
    x = 32,674.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.