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Finding the Third Proportional to 13,822.50 and 21,438

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Solution

The third proportional to 13,822.50 and 21,438 is: 33,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.50 : 21,438 = 21,438 : x
  2. Step 2: Convert to fraction form
    13,822.50/21,438 = 21,438/x
  3. Step 3: Cross multiply
    13,822.50x = 21,438 × 21,438
  4. Step 4: Simplify right side
    13,822.50x = 459,587,844
  5. Step 5: Solve for x
    x = 459,587,844/13,822.50
  6. Step 6: Final answer
    x = 33,249.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.