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Finding the Third Proportional to 5,874 and 13,272

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Solution

The third proportional to 5,874 and 13,272 is: 29,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874 : 13,272 = 13,272 : x
  2. Step 2: Convert to fraction form
    5,874/13,272 = 13,272/x
  3. Step 3: Cross multiply
    5,874x = 13,272 × 13,272
  4. Step 4: Simplify right side
    5,874x = 176,145,984
  5. Step 5: Solve for x
    x = 176,145,984/5,874
  6. Step 6: Final answer
    x = 29,987.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.