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Finding the Third Proportional to 27,918 and 41,040

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Solution

The third proportional to 27,918 and 41,040 is: 60,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,918 : 41,040 = 41,040 : x
  2. Step 2: Convert to fraction form
    27,918/41,040 = 41,040/x
  3. Step 3: Cross multiply
    27,918x = 41,040 × 41,040
  4. Step 4: Simplify right side
    27,918x = 1,684,281,600
  5. Step 5: Solve for x
    x = 1,684,281,600/27,918
  6. Step 6: Final answer
    x = 60,329.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.