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Finding the Third Proportional to 14,742 and 32,049

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Solution

The third proportional to 14,742 and 32,049 is: 69,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 32,049 = 32,049 : x
  2. Step 2: Convert to fraction form
    14,742/32,049 = 32,049/x
  3. Step 3: Cross multiply
    14,742x = 32,049 × 32,049
  4. Step 4: Simplify right side
    14,742x = 1,027,138,401
  5. Step 5: Solve for x
    x = 1,027,138,401/14,742
  6. Step 6: Final answer
    x = 69,674.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.