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Finding the Third Proportional to 13,449 and 28,497.75

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Solution

The third proportional to 13,449 and 28,497.75 is: 60,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449 : 28,497.75 = 28,497.75 : x
  2. Step 2: Convert to fraction form
    13,449/28,497.75 = 28,497.75/x
  3. Step 3: Cross multiply
    13,449x = 28,497.75 × 28,497.75
  4. Step 4: Simplify right side
    13,449x = 812,121,755.06
  5. Step 5: Solve for x
    x = 812,121,755.06/13,449
  6. Step 6: Final answer
    x = 60,385.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.