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Finding the Third Proportional to 4,226 and 6,505

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Solution

The third proportional to 4,226 and 6,505 is: 10,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226 : 6,505 = 6,505 : x
  2. Step 2: Convert to fraction form
    4,226/6,505 = 6,505/x
  3. Step 3: Cross multiply
    4,226x = 6,505 × 6,505
  4. Step 4: Simplify right side
    4,226x = 42,315,025
  5. Step 5: Solve for x
    x = 42,315,025/4,226
  6. Step 6: Final answer
    x = 10,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.