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Finding the Third Proportional to 15,794.25 and 26,319.38

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Solution

The third proportional to 15,794.25 and 26,319.38 is: 43,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.25 : 26,319.38 = 26,319.38 : x
  2. Step 2: Convert to fraction form
    15,794.25/26,319.38 = 26,319.38/x
  3. Step 3: Cross multiply
    15,794.25x = 26,319.38 × 26,319.38
  4. Step 4: Simplify right side
    15,794.25x = 692,709,500.39
  5. Step 5: Solve for x
    x = 692,709,500.39/15,794.25
  6. Step 6: Final answer
    x = 43,858.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.