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Finding the Third Proportional to 13,602 and 27,935

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Solution

The third proportional to 13,602 and 27,935 is: 57,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602 : 27,935 = 27,935 : x
  2. Step 2: Convert to fraction form
    13,602/27,935 = 27,935/x
  3. Step 3: Cross multiply
    13,602x = 27,935 × 27,935
  4. Step 4: Simplify right side
    13,602x = 780,364,225
  5. Step 5: Solve for x
    x = 780,364,225/13,602
  6. Step 6: Final answer
    x = 57,371.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.