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Finding the Third Proportional to 32,206 and 48,551

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Solution

The third proportional to 32,206 and 48,551 is: 73,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206 : 48,551 = 48,551 : x
  2. Step 2: Convert to fraction form
    32,206/48,551 = 48,551/x
  3. Step 3: Cross multiply
    32,206x = 48,551 × 48,551
  4. Step 4: Simplify right side
    32,206x = 2,357,199,601
  5. Step 5: Solve for x
    x = 2,357,199,601/32,206
  6. Step 6: Final answer
    x = 73,191.32

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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.