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Finding the Third Proportional to 18,486 and 26,037

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Solution

The third proportional to 18,486 and 26,037 is: 36,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 26,037 = 26,037 : x
  2. Step 2: Convert to fraction form
    18,486/26,037 = 26,037/x
  3. Step 3: Cross multiply
    18,486x = 26,037 × 26,037
  4. Step 4: Simplify right side
    18,486x = 677,925,369
  5. Step 5: Solve for x
    x = 677,925,369/18,486
  6. Step 6: Final answer
    x = 36,672.37

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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.