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Finding the Third Proportional to 4,011 and 9,709.50

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Solution

The third proportional to 4,011 and 9,709.50 is: 23,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011 : 9,709.50 = 9,709.50 : x
  2. Step 2: Convert to fraction form
    4,011/9,709.50 = 9,709.50/x
  3. Step 3: Cross multiply
    4,011x = 9,709.50 × 9,709.50
  4. Step 4: Simplify right side
    4,011x = 94,274,390.25
  5. Step 5: Solve for x
    x = 94,274,390.25/4,011
  6. Step 6: Final answer
    x = 23,503.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.