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Finding the Third Proportional to 14,272 and 32,800

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Solution

The third proportional to 14,272 and 32,800 is: 75,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272 : 32,800 = 32,800 : x
  2. Step 2: Convert to fraction form
    14,272/32,800 = 32,800/x
  3. Step 3: Cross multiply
    14,272x = 32,800 × 32,800
  4. Step 4: Simplify right side
    14,272x = 1,075,840,000
  5. Step 5: Solve for x
    x = 1,075,840,000/14,272
  6. Step 6: Final answer
    x = 75,381.17

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.