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Finding the Third Proportional to 23,000.81 and 34,719.88

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Solution

The third proportional to 23,000.81 and 34,719.88 is: 52,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.81 : 34,719.88 = 34,719.88 : x
  2. Step 2: Convert to fraction form
    23,000.81/34,719.88 = 34,719.88/x
  3. Step 3: Cross multiply
    23,000.81x = 34,719.88 × 34,719.88
  4. Step 4: Simplify right side
    23,000.81x = 1,205,469,720.02
  5. Step 5: Solve for x
    x = 1,205,469,720.02/23,000.81
  6. Step 6: Final answer
    x = 52,409.88

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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.