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Finding the Third Proportional to 19,826.25 and 26,431.50

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Solution

The third proportional to 19,826.25 and 26,431.50 is: 35,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.25 : 26,431.50 = 26,431.50 : x
  2. Step 2: Convert to fraction form
    19,826.25/26,431.50 = 26,431.50/x
  3. Step 3: Cross multiply
    19,826.25x = 26,431.50 × 26,431.50
  4. Step 4: Simplify right side
    19,826.25x = 698,624,192.25
  5. Step 5: Solve for x
    x = 698,624,192.25/19,826.25
  6. Step 6: Final answer
    x = 35,237.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.