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Finding the Third Proportional to 32,440.50 and 65,772

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Solution

The third proportional to 32,440.50 and 65,772 is: 133,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.50 : 65,772 = 65,772 : x
  2. Step 2: Convert to fraction form
    32,440.50/65,772 = 65,772/x
  3. Step 3: Cross multiply
    32,440.50x = 65,772 × 65,772
  4. Step 4: Simplify right side
    32,440.50x = 4,325,955,984
  5. Step 5: Solve for x
    x = 4,325,955,984/32,440.50
  6. Step 6: Final answer
    x = 133,350.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.