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Finding the Third Proportional to 25,989.50 and 56,127

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Solution

The third proportional to 25,989.50 and 56,127 is: 121,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,989.50 : 56,127 = 56,127 : x
  2. Step 2: Convert to fraction form
    25,989.50/56,127 = 56,127/x
  3. Step 3: Cross multiply
    25,989.50x = 56,127 × 56,127
  4. Step 4: Simplify right side
    25,989.50x = 3,150,240,129
  5. Step 5: Solve for x
    x = 3,150,240,129/25,989.50
  6. Step 6: Final answer
    x = 121,212.03

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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.