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Finding the Third Proportional to 23,734.63 and 56,027.75

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Solution

The third proportional to 23,734.63 and 56,027.75 is: 132,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734.63 : 56,027.75 = 56,027.75 : x
  2. Step 2: Convert to fraction form
    23,734.63/56,027.75 = 56,027.75/x
  3. Step 3: Cross multiply
    23,734.63x = 56,027.75 × 56,027.75
  4. Step 4: Simplify right side
    23,734.63x = 3,139,108,770.06
  5. Step 5: Solve for x
    x = 3,139,108,770.06/23,734.63
  6. Step 6: Final answer
    x = 132,258.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.