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Finding the Third Proportional to 3,009 and 5,541

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Solution

The third proportional to 3,009 and 5,541 is: 10,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009 : 5,541 = 5,541 : x
  2. Step 2: Convert to fraction form
    3,009/5,541 = 5,541/x
  3. Step 3: Cross multiply
    3,009x = 5,541 × 5,541
  4. Step 4: Simplify right side
    3,009x = 30,702,681
  5. Step 5: Solve for x
    x = 30,702,681/3,009
  6. Step 6: Final answer
    x = 10,203.62

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.