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Finding the Third Proportional to 19,683 and 26,517.38

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Solution

The third proportional to 19,683 and 26,517.38 is: 35,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 26,517.38 = 26,517.38 : x
  2. Step 2: Convert to fraction form
    19,683/26,517.38 = 26,517.38/x
  3. Step 3: Cross multiply
    19,683x = 26,517.38 × 26,517.38
  4. Step 4: Simplify right side
    19,683x = 703,171,176.89
  5. Step 5: Solve for x
    x = 703,171,176.89/19,683
  6. Step 6: Final answer
    x = 35,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.