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Finding the Third Proportional to 22,680 and 25,968

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Solution

The third proportional to 22,680 and 25,968 is: 29,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680 : 25,968 = 25,968 : x
  2. Step 2: Convert to fraction form
    22,680/25,968 = 25,968/x
  3. Step 3: Cross multiply
    22,680x = 25,968 × 25,968
  4. Step 4: Simplify right side
    22,680x = 674,337,024
  5. Step 5: Solve for x
    x = 674,337,024/22,680
  6. Step 6: Final answer
    x = 29,732.67

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.