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Finding the Third Proportional to 40,108 and 45,940

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Solution

The third proportional to 40,108 and 45,940 is: 52,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,108 : 45,940 = 45,940 : x
  2. Step 2: Convert to fraction form
    40,108/45,940 = 45,940/x
  3. Step 3: Cross multiply
    40,108x = 45,940 × 45,940
  4. Step 4: Simplify right side
    40,108x = 2,110,483,600
  5. Step 5: Solve for x
    x = 2,110,483,600/40,108
  6. Step 6: Final answer
    x = 52,620.02

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.