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Finding the Third Proportional to 40,944.94 and 86,811.19

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Solution

The third proportional to 40,944.94 and 86,811.19 is: 184,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,944.94 : 86,811.19 = 86,811.19 : x
  2. Step 2: Convert to fraction form
    40,944.94/86,811.19 = 86,811.19/x
  3. Step 3: Cross multiply
    40,944.94x = 86,811.19 × 86,811.19
  4. Step 4: Simplify right side
    40,944.94x = 7,536,182,275.16
  5. Step 5: Solve for x
    x = 7,536,182,275.16/40,944.94
  6. Step 6: Final answer
    x = 184,056.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.