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Finding the Third Proportional to 23,850 and 51,419

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Solution

The third proportional to 23,850 and 51,419 is: 110,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850 : 51,419 = 51,419 : x
  2. Step 2: Convert to fraction form
    23,850/51,419 = 51,419/x
  3. Step 3: Cross multiply
    23,850x = 51,419 × 51,419
  4. Step 4: Simplify right side
    23,850x = 2,643,913,561
  5. Step 5: Solve for x
    x = 2,643,913,561/23,850
  6. Step 6: Final answer
    x = 110,855.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.