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Finding the Third Proportional to 32,072 and 43,692

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Solution

The third proportional to 32,072 and 43,692 is: 59,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072 : 43,692 = 43,692 : x
  2. Step 2: Convert to fraction form
    32,072/43,692 = 43,692/x
  3. Step 3: Cross multiply
    32,072x = 43,692 × 43,692
  4. Step 4: Simplify right side
    32,072x = 1,908,990,864
  5. Step 5: Solve for x
    x = 1,908,990,864/32,072
  6. Step 6: Final answer
    x = 59,522.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.