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Finding the Third Proportional to 6,113 and 9,025

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Solution

The third proportional to 6,113 and 9,025 is: 13,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113 : 9,025 = 9,025 : x
  2. Step 2: Convert to fraction form
    6,113/9,025 = 9,025/x
  3. Step 3: Cross multiply
    6,113x = 9,025 × 9,025
  4. Step 4: Simplify right side
    6,113x = 81,450,625
  5. Step 5: Solve for x
    x = 81,450,625/6,113
  6. Step 6: Final answer
    x = 13,324.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.