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Finding the Third Proportional to 5,370 and 13,353

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Solution

The third proportional to 5,370 and 13,353 is: 33,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 13,353 = 13,353 : x
  2. Step 2: Convert to fraction form
    5,370/13,353 = 13,353/x
  3. Step 3: Cross multiply
    5,370x = 13,353 × 13,353
  4. Step 4: Simplify right side
    5,370x = 178,302,609
  5. Step 5: Solve for x
    x = 178,302,609/5,370
  6. Step 6: Final answer
    x = 33,203.47

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.