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Finding the Third Proportional to 24,475 and 51,812

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Solution

The third proportional to 24,475 and 51,812 is: 109,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475 : 51,812 = 51,812 : x
  2. Step 2: Convert to fraction form
    24,475/51,812 = 51,812/x
  3. Step 3: Cross multiply
    24,475x = 51,812 × 51,812
  4. Step 4: Simplify right side
    24,475x = 2,684,483,344
  5. Step 5: Solve for x
    x = 2,684,483,344/24,475
  6. Step 6: Final answer
    x = 109,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.