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Finding the Third Proportional to 6,901 and 12,025

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Solution

The third proportional to 6,901 and 12,025 is: 20,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901 : 12,025 = 12,025 : x
  2. Step 2: Convert to fraction form
    6,901/12,025 = 12,025/x
  3. Step 3: Cross multiply
    6,901x = 12,025 × 12,025
  4. Step 4: Simplify right side
    6,901x = 144,600,625
  5. Step 5: Solve for x
    x = 144,600,625/6,901
  6. Step 6: Final answer
    x = 20,953.58

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.