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Finding the Third Proportional to 18,664 and 26,164

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Solution

The third proportional to 18,664 and 26,164 is: 36,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 26,164 = 26,164 : x
  2. Step 2: Convert to fraction form
    18,664/26,164 = 26,164/x
  3. Step 3: Cross multiply
    18,664x = 26,164 × 26,164
  4. Step 4: Simplify right side
    18,664x = 684,554,896
  5. Step 5: Solve for x
    x = 684,554,896/18,664
  6. Step 6: Final answer
    x = 36,677.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.