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Finding the Third Proportional to 32,595 and 68,692

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Solution

The third proportional to 32,595 and 68,692 is: 144,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595 : 68,692 = 68,692 : x
  2. Step 2: Convert to fraction form
    32,595/68,692 = 68,692/x
  3. Step 3: Cross multiply
    32,595x = 68,692 × 68,692
  4. Step 4: Simplify right side
    32,595x = 4,718,590,864
  5. Step 5: Solve for x
    x = 4,718,590,864/32,595
  6. Step 6: Final answer
    x = 144,764.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.