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Finding the Third Proportional to 12,696.75 and 19,678.78

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Solution

The third proportional to 12,696.75 and 19,678.78 is: 30,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.75 : 19,678.78 = 19,678.78 : x
  2. Step 2: Convert to fraction form
    12,696.75/19,678.78 = 19,678.78/x
  3. Step 3: Cross multiply
    12,696.75x = 19,678.78 × 19,678.78
  4. Step 4: Simplify right side
    12,696.75x = 387,254,431.49
  5. Step 5: Solve for x
    x = 387,254,431.49/12,696.75
  6. Step 6: Final answer
    x = 30,500.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.