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Finding the Third Proportional to 25,468 and 54,698

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Solution

The third proportional to 25,468 and 54,698 is: 117,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468 : 54,698 = 54,698 : x
  2. Step 2: Convert to fraction form
    25,468/54,698 = 54,698/x
  3. Step 3: Cross multiply
    25,468x = 54,698 × 54,698
  4. Step 4: Simplify right side
    25,468x = 2,991,871,204
  5. Step 5: Solve for x
    x = 2,991,871,204/25,468
  6. Step 6: Final answer
    x = 117,475.70

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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.