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Finding the Third Proportional to 13,508 and 15,908

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Solution

The third proportional to 13,508 and 15,908 is: 18,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508 : 15,908 = 15,908 : x
  2. Step 2: Convert to fraction form
    13,508/15,908 = 15,908/x
  3. Step 3: Cross multiply
    13,508x = 15,908 × 15,908
  4. Step 4: Simplify right side
    13,508x = 253,064,464
  5. Step 5: Solve for x
    x = 253,064,464/13,508
  6. Step 6: Final answer
    x = 18,734.41

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.