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Finding the Third Proportional to 18,160 and 25,698

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Solution

The third proportional to 18,160 and 25,698 is: 36,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,160 : 25,698 = 25,698 : x
  2. Step 2: Convert to fraction form
    18,160/25,698 = 25,698/x
  3. Step 3: Cross multiply
    18,160x = 25,698 × 25,698
  4. Step 4: Simplify right side
    18,160x = 660,387,204
  5. Step 5: Solve for x
    x = 660,387,204/18,160
  6. Step 6: Final answer
    x = 36,364.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.