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Finding the Third Proportional to 15,846 and 34,451

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Solution

The third proportional to 15,846 and 34,451 is: 74,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846 : 34,451 = 34,451 : x
  2. Step 2: Convert to fraction form
    15,846/34,451 = 34,451/x
  3. Step 3: Cross multiply
    15,846x = 34,451 × 34,451
  4. Step 4: Simplify right side
    15,846x = 1,186,871,401
  5. Step 5: Solve for x
    x = 1,186,871,401/15,846
  6. Step 6: Final answer
    x = 74,900.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.