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Finding the Third Proportional to 23,040 and 55,539

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Solution

The third proportional to 23,040 and 55,539 is: 133,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040 : 55,539 = 55,539 : x
  2. Step 2: Convert to fraction form
    23,040/55,539 = 55,539/x
  3. Step 3: Cross multiply
    23,040x = 55,539 × 55,539
  4. Step 4: Simplify right side
    23,040x = 3,084,580,521
  5. Step 5: Solve for x
    x = 3,084,580,521/23,040
  6. Step 6: Final answer
    x = 133,879.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.