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Finding the Third Proportional to 14,046 and 32,517

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Solution

The third proportional to 14,046 and 32,517 is: 75,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 32,517 = 32,517 : x
  2. Step 2: Convert to fraction form
    14,046/32,517 = 32,517/x
  3. Step 3: Cross multiply
    14,046x = 32,517 × 32,517
  4. Step 4: Simplify right side
    14,046x = 1,057,355,289
  5. Step 5: Solve for x
    x = 1,057,355,289/14,046
  6. Step 6: Final answer
    x = 75,278.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.