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Finding the Third Proportional to 34,047 and 52,841.25

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Solution

The third proportional to 34,047 and 52,841.25 is: 82,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047 : 52,841.25 = 52,841.25 : x
  2. Step 2: Convert to fraction form
    34,047/52,841.25 = 52,841.25/x
  3. Step 3: Cross multiply
    34,047x = 52,841.25 × 52,841.25
  4. Step 4: Simplify right side
    34,047x = 2,792,197,701.56
  5. Step 5: Solve for x
    x = 2,792,197,701.56/34,047
  6. Step 6: Final answer
    x = 82,010.09

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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.