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Finding the Third Proportional to 32,206 and 48,552

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Solution

The third proportional to 32,206 and 48,552 is: 73,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206 : 48,552 = 48,552 : x
  2. Step 2: Convert to fraction form
    32,206/48,552 = 48,552/x
  3. Step 3: Cross multiply
    32,206x = 48,552 × 48,552
  4. Step 4: Simplify right side
    32,206x = 2,357,296,704
  5. Step 5: Solve for x
    x = 2,357,296,704/32,206
  6. Step 6: Final answer
    x = 73,194.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.