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Finding the Third Proportional to 34,651.69 and 45,313.31

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Solution

The third proportional to 34,651.69 and 45,313.31 is: 59,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.69 : 45,313.31 = 45,313.31 : x
  2. Step 2: Convert to fraction form
    34,651.69/45,313.31 = 45,313.31/x
  3. Step 3: Cross multiply
    34,651.69x = 45,313.31 × 45,313.31
  4. Step 4: Simplify right side
    34,651.69x = 2,053,296,289.72
  5. Step 5: Solve for x
    x = 2,053,296,289.72/34,651.69
  6. Step 6: Final answer
    x = 59,255.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.