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Finding the Third Proportional to 15,880 and 23,742

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Solution

The third proportional to 15,880 and 23,742 is: 35,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 23,742 = 23,742 : x
  2. Step 2: Convert to fraction form
    15,880/23,742 = 23,742/x
  3. Step 3: Cross multiply
    15,880x = 23,742 × 23,742
  4. Step 4: Simplify right side
    15,880x = 563,682,564
  5. Step 5: Solve for x
    x = 563,682,564/15,880
  6. Step 6: Final answer
    x = 35,496.38

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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.