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Finding the Third Proportional to 19,683 and 29,524.50

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Solution

The third proportional to 19,683 and 29,524.50 is: 44,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 29,524.50 = 29,524.50 : x
  2. Step 2: Convert to fraction form
    19,683/29,524.50 = 29,524.50/x
  3. Step 3: Cross multiply
    19,683x = 29,524.50 × 29,524.50
  4. Step 4: Simplify right side
    19,683x = 871,696,100.25
  5. Step 5: Solve for x
    x = 871,696,100.25/19,683
  6. Step 6: Final answer
    x = 44,286.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.