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Finding the Third Proportional to 26,032 and 56,014

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Solution

The third proportional to 26,032 and 56,014 is: 120,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032 : 56,014 = 56,014 : x
  2. Step 2: Convert to fraction form
    26,032/56,014 = 56,014/x
  3. Step 3: Cross multiply
    26,032x = 56,014 × 56,014
  4. Step 4: Simplify right side
    26,032x = 3,137,568,196
  5. Step 5: Solve for x
    x = 3,137,568,196/26,032
  6. Step 6: Final answer
    x = 120,527.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.