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Finding the Third Proportional to 19,085 and 26,371.25

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Solution

The third proportional to 19,085 and 26,371.25 is: 36,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,085 : 26,371.25 = 26,371.25 : x
  2. Step 2: Convert to fraction form
    19,085/26,371.25 = 26,371.25/x
  3. Step 3: Cross multiply
    19,085x = 26,371.25 × 26,371.25
  4. Step 4: Simplify right side
    19,085x = 695,442,826.56
  5. Step 5: Solve for x
    x = 695,442,826.56/19,085
  6. Step 6: Final answer
    x = 36,439.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.