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Finding the Third Proportional to 40,550.63 and 86,705.44

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Solution

The third proportional to 40,550.63 and 86,705.44 is: 185,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,550.63 : 86,705.44 = 86,705.44 : x
  2. Step 2: Convert to fraction form
    40,550.63/86,705.44 = 86,705.44/x
  3. Step 3: Cross multiply
    40,550.63x = 86,705.44 × 86,705.44
  4. Step 4: Simplify right side
    40,550.63x = 7,517,832,892.07
  5. Step 5: Solve for x
    x = 7,517,832,892.07/40,550.63
  6. Step 6: Final answer
    x = 185,393.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.