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Finding the Third Proportional to 14,654 and 32,212

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Solution

The third proportional to 14,654 and 32,212 is: 70,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654 : 32,212 = 32,212 : x
  2. Step 2: Convert to fraction form
    14,654/32,212 = 32,212/x
  3. Step 3: Cross multiply
    14,654x = 32,212 × 32,212
  4. Step 4: Simplify right side
    14,654x = 1,037,612,944
  5. Step 5: Solve for x
    x = 1,037,612,944/14,654
  6. Step 6: Final answer
    x = 70,807.49

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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.