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Finding the Third Proportional to 26,205.75 and 56,583

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Solution

The third proportional to 26,205.75 and 56,583 is: 122,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.75 : 56,583 = 56,583 : x
  2. Step 2: Convert to fraction form
    26,205.75/56,583 = 56,583/x
  3. Step 3: Cross multiply
    26,205.75x = 56,583 × 56,583
  4. Step 4: Simplify right side
    26,205.75x = 3,201,635,889
  5. Step 5: Solve for x
    x = 3,201,635,889/26,205.75
  6. Step 6: Final answer
    x = 122,173.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.