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Finding the Third Proportional to 4,298 and 7,705

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Solution

The third proportional to 4,298 and 7,705 is: 13,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 7,705 = 7,705 : x
  2. Step 2: Convert to fraction form
    4,298/7,705 = 7,705/x
  3. Step 3: Cross multiply
    4,298x = 7,705 × 7,705
  4. Step 4: Simplify right side
    4,298x = 59,367,025
  5. Step 5: Solve for x
    x = 59,367,025/4,298
  6. Step 6: Final answer
    x = 13,812.71

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.