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Finding the Third Proportional to 18,864 and 25,614

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Solution

The third proportional to 18,864 and 25,614 is: 34,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864 : 25,614 = 25,614 : x
  2. Step 2: Convert to fraction form
    18,864/25,614 = 25,614/x
  3. Step 3: Cross multiply
    18,864x = 25,614 × 25,614
  4. Step 4: Simplify right side
    18,864x = 656,076,996
  5. Step 5: Solve for x
    x = 656,076,996/18,864
  6. Step 6: Final answer
    x = 34,779.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.