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Finding the Third Proportional to 32,084.44 and 66,214.13

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Solution

The third proportional to 32,084.44 and 66,214.13 is: 136,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.44 : 66,214.13 = 66,214.13 : x
  2. Step 2: Convert to fraction form
    32,084.44/66,214.13 = 66,214.13/x
  3. Step 3: Cross multiply
    32,084.44x = 66,214.13 × 66,214.13
  4. Step 4: Simplify right side
    32,084.44x = 4,384,310,349.52
  5. Step 5: Solve for x
    x = 4,384,310,349.52/32,084.44
  6. Step 6: Final answer
    x = 136,649.13

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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.