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Finding the Third Proportional to 34,577.63 and 52,183.88

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Solution

The third proportional to 34,577.63 and 52,183.88 is: 78,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,577.63 : 52,183.88 = 52,183.88 : x
  2. Step 2: Convert to fraction form
    34,577.63/52,183.88 = 52,183.88/x
  3. Step 3: Cross multiply
    34,577.63x = 52,183.88 × 52,183.88
  4. Step 4: Simplify right side
    34,577.63x = 2,723,156,810.02
  5. Step 5: Solve for x
    x = 2,723,156,810.02/34,577.63
  6. Step 6: Final answer
    x = 78,754.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.