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Finding the Third Proportional to 26,458.88 and 35,273.25

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Solution

The third proportional to 26,458.88 and 35,273.25 is: 47,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,458.88 : 35,273.25 = 35,273.25 : x
  2. Step 2: Convert to fraction form
    26,458.88/35,273.25 = 35,273.25/x
  3. Step 3: Cross multiply
    26,458.88x = 35,273.25 × 35,273.25
  4. Step 4: Simplify right side
    26,458.88x = 1,244,202,165.56
  5. Step 5: Solve for x
    x = 1,244,202,165.56/26,458.88
  6. Step 6: Final answer
    x = 47,024.00

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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.