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Finding the Third Proportional to 18,884 and 26,206

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Solution

The third proportional to 18,884 and 26,206 is: 36,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,884 : 26,206 = 26,206 : x
  2. Step 2: Convert to fraction form
    18,884/26,206 = 26,206/x
  3. Step 3: Cross multiply
    18,884x = 26,206 × 26,206
  4. Step 4: Simplify right side
    18,884x = 686,754,436
  5. Step 5: Solve for x
    x = 686,754,436/18,884
  6. Step 6: Final answer
    x = 36,367.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.