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Finding the Third Proportional to 3,909 and 9,709.50

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Solution

The third proportional to 3,909 and 9,709.50 is: 24,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909 : 9,709.50 = 9,709.50 : x
  2. Step 2: Convert to fraction form
    3,909/9,709.50 = 9,709.50/x
  3. Step 3: Cross multiply
    3,909x = 9,709.50 × 9,709.50
  4. Step 4: Simplify right side
    3,909x = 94,274,390.25
  5. Step 5: Solve for x
    x = 94,274,390.25/3,909
  6. Step 6: Final answer
    x = 24,117.27

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.