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Finding the Third Proportional to 26,393 and 35,254.50

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Solution

The third proportional to 26,393 and 35,254.50 is: 47,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,393 : 35,254.50 = 35,254.50 : x
  2. Step 2: Convert to fraction form
    26,393/35,254.50 = 35,254.50/x
  3. Step 3: Cross multiply
    26,393x = 35,254.50 × 35,254.50
  4. Step 4: Simplify right side
    26,393x = 1,242,879,770.25
  5. Step 5: Solve for x
    x = 1,242,879,770.25/26,393
  6. Step 6: Final answer
    x = 47,091.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.