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Finding the Third Proportional to 34,513.31 and 73,004.91

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Solution

The third proportional to 34,513.31 and 73,004.91 is: 154,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.31 : 73,004.91 = 73,004.91 : x
  2. Step 2: Convert to fraction form
    34,513.31/73,004.91 = 73,004.91/x
  3. Step 3: Cross multiply
    34,513.31x = 73,004.91 × 73,004.91
  4. Step 4: Simplify right side
    34,513.31x = 5,329,716,336.57
  5. Step 5: Solve for x
    x = 5,329,716,336.57/34,513.31
  6. Step 6: Final answer
    x = 154,424.94

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