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Finding the Third Proportional to 42,940.13 and 65,685.94

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Solution

The third proportional to 42,940.13 and 65,685.94 is: 100,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,940.13 : 65,685.94 = 65,685.94 : x
  2. Step 2: Convert to fraction form
    42,940.13/65,685.94 = 65,685.94/x
  3. Step 3: Cross multiply
    42,940.13x = 65,685.94 × 65,685.94
  4. Step 4: Simplify right side
    42,940.13x = 4,314,642,385.25
  5. Step 5: Solve for x
    x = 4,314,642,385.25/42,940.13
  6. Step 6: Final answer
    x = 100,480.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.