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Finding the Third Proportional to 43,086.94 and 65,541.66

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Solution

The third proportional to 43,086.94 and 65,541.66 is: 99,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086.94 : 65,541.66 = 65,541.66 : x
  2. Step 2: Convert to fraction form
    43,086.94/65,541.66 = 65,541.66/x
  3. Step 3: Cross multiply
    43,086.94x = 65,541.66 × 65,541.66
  4. Step 4: Simplify right side
    43,086.94x = 4,295,708,703.99
  5. Step 5: Solve for x
    x = 4,295,708,703.99/43,086.94
  6. Step 6: Final answer
    x = 99,698.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.