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Finding the Third Proportional to 13,272 and 18,602

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Solution

The third proportional to 13,272 and 18,602 is: 26,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,272 : 18,602 = 18,602 : x
  2. Step 2: Convert to fraction form
    13,272/18,602 = 18,602/x
  3. Step 3: Cross multiply
    13,272x = 18,602 × 18,602
  4. Step 4: Simplify right side
    13,272x = 346,034,404
  5. Step 5: Solve for x
    x = 346,034,404/13,272
  6. Step 6: Final answer
    x = 26,072.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.