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Finding the Third Proportional to 10,578 and 16,201

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Solution

The third proportional to 10,578 and 16,201 is: 24,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578 : 16,201 = 16,201 : x
  2. Step 2: Convert to fraction form
    10,578/16,201 = 16,201/x
  3. Step 3: Cross multiply
    10,578x = 16,201 × 16,201
  4. Step 4: Simplify right side
    10,578x = 262,472,401
  5. Step 5: Solve for x
    x = 262,472,401/10,578
  6. Step 6: Final answer
    x = 24,813.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.