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Finding the Third Proportional to 13,584 and 29,760

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Solution

The third proportional to 13,584 and 29,760 is: 65,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 29,760 = 29,760 : x
  2. Step 2: Convert to fraction form
    13,584/29,760 = 29,760/x
  3. Step 3: Cross multiply
    13,584x = 29,760 × 29,760
  4. Step 4: Simplify right side
    13,584x = 885,657,600
  5. Step 5: Solve for x
    x = 885,657,600/13,584
  6. Step 6: Final answer
    x = 65,198.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.