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Finding the Third Proportional to 26,040 and 55,530

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Solution

The third proportional to 26,040 and 55,530 is: 118,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,040 : 55,530 = 55,530 : x
  2. Step 2: Convert to fraction form
    26,040/55,530 = 55,530/x
  3. Step 3: Cross multiply
    26,040x = 55,530 × 55,530
  4. Step 4: Simplify right side
    26,040x = 3,083,580,900
  5. Step 5: Solve for x
    x = 3,083,580,900/26,040
  6. Step 6: Final answer
    x = 118,417.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.