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Finding the Third Proportional to 32,091.50 and 66,228

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Solution

The third proportional to 32,091.50 and 66,228 is: 136,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.50 : 66,228 = 66,228 : x
  2. Step 2: Convert to fraction form
    32,091.50/66,228 = 66,228/x
  3. Step 3: Cross multiply
    32,091.50x = 66,228 × 66,228
  4. Step 4: Simplify right side
    32,091.50x = 4,386,147,984
  5. Step 5: Solve for x
    x = 4,386,147,984/32,091.50
  6. Step 6: Final answer
    x = 136,676.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.