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Finding the Third Proportional to 26,259.75 and 35,376.75

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Solution

The third proportional to 26,259.75 and 35,376.75 is: 47,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,259.75 : 35,376.75 = 35,376.75 : x
  2. Step 2: Convert to fraction form
    26,259.75/35,376.75 = 35,376.75/x
  3. Step 3: Cross multiply
    26,259.75x = 35,376.75 × 35,376.75
  4. Step 4: Simplify right side
    26,259.75x = 1,251,514,440.56
  5. Step 5: Solve for x
    x = 1,251,514,440.56/26,259.75
  6. Step 6: Final answer
    x = 47,659.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.