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Finding the Third Proportional to 34,240.22 and 73,573.31

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Solution

The third proportional to 34,240.22 and 73,573.31 is: 158,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240.22 : 73,573.31 = 73,573.31 : x
  2. Step 2: Convert to fraction form
    34,240.22/73,573.31 = 73,573.31/x
  3. Step 3: Cross multiply
    34,240.22x = 73,573.31 × 73,573.31
  4. Step 4: Simplify right side
    34,240.22x = 5,413,032,312.22
  5. Step 5: Solve for x
    x = 5,413,032,312.22/34,240.22
  6. Step 6: Final answer
    x = 158,089.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.