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Finding the Third Proportional to 19,300 and 26,886

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Solution

The third proportional to 19,300 and 26,886 is: 37,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,300 : 26,886 = 26,886 : x
  2. Step 2: Convert to fraction form
    19,300/26,886 = 26,886/x
  3. Step 3: Cross multiply
    19,300x = 26,886 × 26,886
  4. Step 4: Simplify right side
    19,300x = 722,856,996
  5. Step 5: Solve for x
    x = 722,856,996/19,300
  6. Step 6: Final answer
    x = 37,453.73

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Why These Related Problems?

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