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Finding the Third Proportional to 13,224 and 28,625

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Solution

The third proportional to 13,224 and 28,625 is: 61,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 28,625 = 28,625 : x
  2. Step 2: Convert to fraction form
    13,224/28,625 = 28,625/x
  3. Step 3: Cross multiply
    13,224x = 28,625 × 28,625
  4. Step 4: Simplify right side
    13,224x = 819,390,625
  5. Step 5: Solve for x
    x = 819,390,625/13,224
  6. Step 6: Final answer
    x = 61,962.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.