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Finding the Third Proportional to 25,977.66 and 55,840.31

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Solution

The third proportional to 25,977.66 and 55,840.31 is: 120,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977.66 : 55,840.31 = 55,840.31 : x
  2. Step 2: Convert to fraction form
    25,977.66/55,840.31 = 55,840.31/x
  3. Step 3: Cross multiply
    25,977.66x = 55,840.31 × 55,840.31
  4. Step 4: Simplify right side
    25,977.66x = 3,118,140,500.10
  5. Step 5: Solve for x
    x = 3,118,140,500.10/25,977.66
  6. Step 6: Final answer
    x = 120,031.63

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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.