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Finding the Third Proportional to 32,833.69 and 68,492.25

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Solution

The third proportional to 32,833.69 and 68,492.25 is: 142,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.69 : 68,492.25 = 68,492.25 : x
  2. Step 2: Convert to fraction form
    32,833.69/68,492.25 = 68,492.25/x
  3. Step 3: Cross multiply
    32,833.69x = 68,492.25 × 68,492.25
  4. Step 4: Simplify right side
    32,833.69x = 4,691,188,310.06
  5. Step 5: Solve for x
    x = 4,691,188,310.06/32,833.69
  6. Step 6: Final answer
    x = 142,877.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.