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Finding the Third Proportional to 23,143 and 25,573

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Solution

The third proportional to 23,143 and 25,573 is: 28,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143 : 25,573 = 25,573 : x
  2. Step 2: Convert to fraction form
    23,143/25,573 = 25,573/x
  3. Step 3: Cross multiply
    23,143x = 25,573 × 25,573
  4. Step 4: Simplify right side
    23,143x = 653,978,329
  5. Step 5: Solve for x
    x = 653,978,329/23,143
  6. Step 6: Final answer
    x = 28,258.15

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.