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Finding the Third Proportional to 27,664 and 41,632

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Solution

The third proportional to 27,664 and 41,632 is: 62,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,664 : 41,632 = 41,632 : x
  2. Step 2: Convert to fraction form
    27,664/41,632 = 41,632/x
  3. Step 3: Cross multiply
    27,664x = 41,632 × 41,632
  4. Step 4: Simplify right side
    27,664x = 1,733,223,424
  5. Step 5: Solve for x
    x = 1,733,223,424/27,664
  6. Step 6: Final answer
    x = 62,652.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.