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Finding the Third Proportional to 26,385.75 and 35,808.75

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Solution

The third proportional to 26,385.75 and 35,808.75 is: 48,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,385.75 : 35,808.75 = 35,808.75 : x
  2. Step 2: Convert to fraction form
    26,385.75/35,808.75 = 35,808.75/x
  3. Step 3: Cross multiply
    26,385.75x = 35,808.75 × 35,808.75
  4. Step 4: Simplify right side
    26,385.75x = 1,282,266,576.56
  5. Step 5: Solve for x
    x = 1,282,266,576.56/26,385.75
  6. Step 6: Final answer
    x = 48,596.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.