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Finding the Third Proportional to 13,011 and 27,641

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Solution

The third proportional to 13,011 and 27,641 is: 58,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011 : 27,641 = 27,641 : x
  2. Step 2: Convert to fraction form
    13,011/27,641 = 27,641/x
  3. Step 3: Cross multiply
    13,011x = 27,641 × 27,641
  4. Step 4: Simplify right side
    13,011x = 764,024,881
  5. Step 5: Solve for x
    x = 764,024,881/13,011
  6. Step 6: Final answer
    x = 58,721.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.