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Finding the Third Proportional to 30,678.75 and 41,051.81

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Solution

The third proportional to 30,678.75 and 41,051.81 is: 54,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.75 : 41,051.81 = 41,051.81 : x
  2. Step 2: Convert to fraction form
    30,678.75/41,051.81 = 41,051.81/x
  3. Step 3: Cross multiply
    30,678.75x = 41,051.81 × 41,051.81
  4. Step 4: Simplify right side
    30,678.75x = 1,685,251,309.54
  5. Step 5: Solve for x
    x = 1,685,251,309.54/30,678.75
  6. Step 6: Final answer
    x = 54,932.20

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.