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Finding the Third Proportional to 12,696 and 19,854

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Solution

The third proportional to 12,696 and 19,854 is: 31,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696 : 19,854 = 19,854 : x
  2. Step 2: Convert to fraction form
    12,696/19,854 = 19,854/x
  3. Step 3: Cross multiply
    12,696x = 19,854 × 19,854
  4. Step 4: Simplify right side
    12,696x = 394,181,316
  5. Step 5: Solve for x
    x = 394,181,316/12,696
  6. Step 6: Final answer
    x = 31,047.68

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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.