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Finding the Third Proportional to 27,594 and 36,477

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Solution

The third proportional to 27,594 and 36,477 is: 48,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 36,477 = 36,477 : x
  2. Step 2: Convert to fraction form
    27,594/36,477 = 36,477/x
  3. Step 3: Cross multiply
    27,594x = 36,477 × 36,477
  4. Step 4: Simplify right side
    27,594x = 1,330,571,529
  5. Step 5: Solve for x
    x = 1,330,571,529/27,594
  6. Step 6: Final answer
    x = 48,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.