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Finding the Third Proportional to 23,419 and 35,129

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Solution

The third proportional to 23,419 and 35,129 is: 52,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419 : 35,129 = 35,129 : x
  2. Step 2: Convert to fraction form
    23,419/35,129 = 35,129/x
  3. Step 3: Cross multiply
    23,419x = 35,129 × 35,129
  4. Step 4: Simplify right side
    23,419x = 1,234,046,641
  5. Step 5: Solve for x
    x = 1,234,046,641/23,419
  6. Step 6: Final answer
    x = 52,694.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.