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Finding the Third Proportional to 6,025 and 12,511

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Solution

The third proportional to 6,025 and 12,511 is: 25,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025 : 12,511 = 12,511 : x
  2. Step 2: Convert to fraction form
    6,025/12,511 = 12,511/x
  3. Step 3: Cross multiply
    6,025x = 12,511 × 12,511
  4. Step 4: Simplify right side
    6,025x = 156,525,121
  5. Step 5: Solve for x
    x = 156,525,121/6,025
  6. Step 6: Final answer
    x = 25,979.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.