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Finding the Third Proportional to 32,771.25 and 71,102.25

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Solution

The third proportional to 32,771.25 and 71,102.25 is: 154,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.25 : 71,102.25 = 71,102.25 : x
  2. Step 2: Convert to fraction form
    32,771.25/71,102.25 = 71,102.25/x
  3. Step 3: Cross multiply
    32,771.25x = 71,102.25 × 71,102.25
  4. Step 4: Simplify right side
    32,771.25x = 5,055,529,955.06
  5. Step 5: Solve for x
    x = 5,055,529,955.06/32,771.25
  6. Step 6: Final answer
    x = 154,267.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.