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Finding the Third Proportional to 14,684 and 32,272

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Solution

The third proportional to 14,684 and 32,272 is: 70,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684 : 32,272 = 32,272 : x
  2. Step 2: Convert to fraction form
    14,684/32,272 = 32,272/x
  3. Step 3: Cross multiply
    14,684x = 32,272 × 32,272
  4. Step 4: Simplify right side
    14,684x = 1,041,481,984
  5. Step 5: Solve for x
    x = 1,041,481,984/14,684
  6. Step 6: Final answer
    x = 70,926.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.