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Finding the Third Proportional to 37,364.63 and 80,633.81

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Solution

The third proportional to 37,364.63 and 80,633.81 is: 174,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,364.63 : 80,633.81 = 80,633.81 : x
  2. Step 2: Convert to fraction form
    37,364.63/80,633.81 = 80,633.81/x
  3. Step 3: Cross multiply
    37,364.63x = 80,633.81 × 80,633.81
  4. Step 4: Simplify right side
    37,364.63x = 6,501,811,718.29
  5. Step 5: Solve for x
    x = 6,501,811,718.29/37,364.63
  6. Step 6: Final answer
    x = 174,009.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.