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Finding the Third Proportional to 34,112.81 and 51,857.81

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Solution

The third proportional to 34,112.81 and 51,857.81 is: 78,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112.81 : 51,857.81 = 51,857.81 : x
  2. Step 2: Convert to fraction form
    34,112.81/51,857.81 = 51,857.81/x
  3. Step 3: Cross multiply
    34,112.81x = 51,857.81 × 51,857.81
  4. Step 4: Simplify right side
    34,112.81x = 2,689,232,717.29
  5. Step 5: Solve for x
    x = 2,689,232,717.29/34,112.81
  6. Step 6: Final answer
    x = 78,833.51

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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.