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Finding the Third Proportional to 34,852 and 54,042

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Solution

The third proportional to 34,852 and 54,042 is: 83,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,852 : 54,042 = 54,042 : x
  2. Step 2: Convert to fraction form
    34,852/54,042 = 54,042/x
  3. Step 3: Cross multiply
    34,852x = 54,042 × 54,042
  4. Step 4: Simplify right side
    34,852x = 2,920,537,764
  5. Step 5: Solve for x
    x = 2,920,537,764/34,852
  6. Step 6: Final answer
    x = 83,798.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.