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Finding the Third Proportional to 25,296 and 36,624

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Solution

The third proportional to 25,296 and 36,624 is: 53,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296 : 36,624 = 36,624 : x
  2. Step 2: Convert to fraction form
    25,296/36,624 = 36,624/x
  3. Step 3: Cross multiply
    25,296x = 36,624 × 36,624
  4. Step 4: Simplify right side
    25,296x = 1,341,317,376
  5. Step 5: Solve for x
    x = 1,341,317,376/25,296
  6. Step 6: Final answer
    x = 53,024.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.