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Finding the Third Proportional to 3,205 and 4,909

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Solution

The third proportional to 3,205 and 4,909 is: 7,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 4,909 = 4,909 : x
  2. Step 2: Convert to fraction form
    3,205/4,909 = 4,909/x
  3. Step 3: Cross multiply
    3,205x = 4,909 × 4,909
  4. Step 4: Simplify right side
    3,205x = 24,098,281
  5. Step 5: Solve for x
    x = 24,098,281/3,205
  6. Step 6: Final answer
    x = 7,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.