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Finding the Third Proportional to 18,484 and 26,034

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Solution

The third proportional to 18,484 and 26,034 is: 36,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,484 : 26,034 = 26,034 : x
  2. Step 2: Convert to fraction form
    18,484/26,034 = 26,034/x
  3. Step 3: Cross multiply
    18,484x = 26,034 × 26,034
  4. Step 4: Simplify right side
    18,484x = 677,769,156
  5. Step 5: Solve for x
    x = 677,769,156/18,484
  6. Step 6: Final answer
    x = 36,667.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.