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Finding the Third Proportional to 18,897 and 39,621

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Solution

The third proportional to 18,897 and 39,621 is: 83,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897 : 39,621 = 39,621 : x
  2. Step 2: Convert to fraction form
    18,897/39,621 = 39,621/x
  3. Step 3: Cross multiply
    18,897x = 39,621 × 39,621
  4. Step 4: Simplify right side
    18,897x = 1,569,823,641
  5. Step 5: Solve for x
    x = 1,569,823,641/18,897
  6. Step 6: Final answer
    x = 83,072.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.