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Finding the Third Proportional to 32,922 and 72,960.75

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Solution

The third proportional to 32,922 and 72,960.75 is: 161,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922 : 72,960.75 = 72,960.75 : x
  2. Step 2: Convert to fraction form
    32,922/72,960.75 = 72,960.75/x
  3. Step 3: Cross multiply
    32,922x = 72,960.75 × 72,960.75
  4. Step 4: Simplify right side
    32,922x = 5,323,271,040.56
  5. Step 5: Solve for x
    x = 5,323,271,040.56/32,922
  6. Step 6: Final answer
    x = 161,693.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.