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Finding the Third Proportional to 23,103 and 35,141

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Solution

The third proportional to 23,103 and 35,141 is: 53,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103 : 35,141 = 35,141 : x
  2. Step 2: Convert to fraction form
    23,103/35,141 = 35,141/x
  3. Step 3: Cross multiply
    23,103x = 35,141 × 35,141
  4. Step 4: Simplify right side
    23,103x = 1,234,889,881
  5. Step 5: Solve for x
    x = 1,234,889,881/23,103
  6. Step 6: Final answer
    x = 53,451.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.