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Finding the Third Proportional to 18,880 and 26,460

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Solution

The third proportional to 18,880 and 26,460 is: 37,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,880 : 26,460 = 26,460 : x
  2. Step 2: Convert to fraction form
    18,880/26,460 = 26,460/x
  3. Step 3: Cross multiply
    18,880x = 26,460 × 26,460
  4. Step 4: Simplify right side
    18,880x = 700,131,600
  5. Step 5: Solve for x
    x = 700,131,600/18,880
  6. Step 6: Final answer
    x = 37,083.24

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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.