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Finding the Third Proportional to 26,745.19 and 39,016.69

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Solution

The third proportional to 26,745.19 and 39,016.69 is: 56,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,745.19 : 39,016.69 = 39,016.69 : x
  2. Step 2: Convert to fraction form
    26,745.19/39,016.69 = 39,016.69/x
  3. Step 3: Cross multiply
    26,745.19x = 39,016.69 × 39,016.69
  4. Step 4: Simplify right side
    26,745.19x = 1,522,301,903.47
  5. Step 5: Solve for x
    x = 1,522,301,903.47/26,745.19
  6. Step 6: Final answer
    x = 56,918.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.