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Finding the Third Proportional to 34,115.50 and 73,658

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Solution

The third proportional to 34,115.50 and 73,658 is: 159,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.50 : 73,658 = 73,658 : x
  2. Step 2: Convert to fraction form
    34,115.50/73,658 = 73,658/x
  3. Step 3: Cross multiply
    34,115.50x = 73,658 × 73,658
  4. Step 4: Simplify right side
    34,115.50x = 5,425,500,964
  5. Step 5: Solve for x
    x = 5,425,500,964/34,115.50
  6. Step 6: Final answer
    x = 159,033.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.