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Finding the Third Proportional to 19,788 and 30,599

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Solution

The third proportional to 19,788 and 30,599 is: 47,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788 : 30,599 = 30,599 : x
  2. Step 2: Convert to fraction form
    19,788/30,599 = 30,599/x
  3. Step 3: Cross multiply
    19,788x = 30,599 × 30,599
  4. Step 4: Simplify right side
    19,788x = 936,298,801
  5. Step 5: Solve for x
    x = 936,298,801/19,788
  6. Step 6: Final answer
    x = 47,316.49

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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.