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Finding the Third Proportional to 13,237 and 18,553

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Solution

The third proportional to 13,237 and 18,553 is: 26,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237 : 18,553 = 18,553 : x
  2. Step 2: Convert to fraction form
    13,237/18,553 = 18,553/x
  3. Step 3: Cross multiply
    13,237x = 18,553 × 18,553
  4. Step 4: Simplify right side
    13,237x = 344,213,809
  5. Step 5: Solve for x
    x = 344,213,809/13,237
  6. Step 6: Final answer
    x = 26,003.91

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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.