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Finding the Third Proportional to 13,199 and 28,721

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Solution

The third proportional to 13,199 and 28,721 is: 62,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199 : 28,721 = 28,721 : x
  2. Step 2: Convert to fraction form
    13,199/28,721 = 28,721/x
  3. Step 3: Cross multiply
    13,199x = 28,721 × 28,721
  4. Step 4: Simplify right side
    13,199x = 824,895,841
  5. Step 5: Solve for x
    x = 824,895,841/13,199
  6. Step 6: Final answer
    x = 62,496.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.