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Finding the Third Proportional to 32,549 and 66,003

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Solution

The third proportional to 32,549 and 66,003 is: 133,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549 : 66,003 = 66,003 : x
  2. Step 2: Convert to fraction form
    32,549/66,003 = 66,003/x
  3. Step 3: Cross multiply
    32,549x = 66,003 × 66,003
  4. Step 4: Simplify right side
    32,549x = 4,356,396,009
  5. Step 5: Solve for x
    x = 4,356,396,009/32,549
  6. Step 6: Final answer
    x = 133,841.16

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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.