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Finding the Third Proportional to 40,994 and 55,640

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Solution

The third proportional to 40,994 and 55,640 is: 75,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,994 : 55,640 = 55,640 : x
  2. Step 2: Convert to fraction form
    40,994/55,640 = 55,640/x
  3. Step 3: Cross multiply
    40,994x = 55,640 × 55,640
  4. Step 4: Simplify right side
    40,994x = 3,095,809,600
  5. Step 5: Solve for x
    x = 3,095,809,600/40,994
  6. Step 6: Final answer
    x = 75,518.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.