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Finding the Third Proportional to 25,221 and 54,291

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Solution

The third proportional to 25,221 and 54,291 is: 116,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221 : 54,291 = 54,291 : x
  2. Step 2: Convert to fraction form
    25,221/54,291 = 54,291/x
  3. Step 3: Cross multiply
    25,221x = 54,291 × 54,291
  4. Step 4: Simplify right side
    25,221x = 2,947,512,681
  5. Step 5: Solve for x
    x = 2,947,512,681/25,221
  6. Step 6: Final answer
    x = 116,867.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.