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Finding the Third Proportional to 14,184 and 32,976

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Solution

The third proportional to 14,184 and 32,976 is: 76,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 32,976 = 32,976 : x
  2. Step 2: Convert to fraction form
    14,184/32,976 = 32,976/x
  3. Step 3: Cross multiply
    14,184x = 32,976 × 32,976
  4. Step 4: Simplify right side
    14,184x = 1,087,416,576
  5. Step 5: Solve for x
    x = 1,087,416,576/14,184
  6. Step 6: Final answer
    x = 76,665.02

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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.