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Finding the Third Proportional to 4,380 and 11,841

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Solution

The third proportional to 4,380 and 11,841 is: 32,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380 : 11,841 = 11,841 : x
  2. Step 2: Convert to fraction form
    4,380/11,841 = 11,841/x
  3. Step 3: Cross multiply
    4,380x = 11,841 × 11,841
  4. Step 4: Simplify right side
    4,380x = 140,209,281
  5. Step 5: Solve for x
    x = 140,209,281/4,380
  6. Step 6: Final answer
    x = 32,011.25

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.