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Finding the Third Proportional to 18,152 and 25,564

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Solution

The third proportional to 18,152 and 25,564 is: 36,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,152 : 25,564 = 25,564 : x
  2. Step 2: Convert to fraction form
    18,152/25,564 = 25,564/x
  3. Step 3: Cross multiply
    18,152x = 25,564 × 25,564
  4. Step 4: Simplify right side
    18,152x = 653,518,096
  5. Step 5: Solve for x
    x = 653,518,096/18,152
  6. Step 6: Final answer
    x = 36,002.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.