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Finding the Third Proportional to 4,802 and 11,291

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Solution

The third proportional to 4,802 and 11,291 is: 26,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802 : 11,291 = 11,291 : x
  2. Step 2: Convert to fraction form
    4,802/11,291 = 11,291/x
  3. Step 3: Cross multiply
    4,802x = 11,291 × 11,291
  4. Step 4: Simplify right side
    4,802x = 127,486,681
  5. Step 5: Solve for x
    x = 127,486,681/4,802
  6. Step 6: Final answer
    x = 26,548.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.