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Finding the Third Proportional to 34,229.25 and 72,832.50

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Solution

The third proportional to 34,229.25 and 72,832.50 is: 154,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,229.25 : 72,832.50 = 72,832.50 : x
  2. Step 2: Convert to fraction form
    34,229.25/72,832.50 = 72,832.50/x
  3. Step 3: Cross multiply
    34,229.25x = 72,832.50 × 72,832.50
  4. Step 4: Simplify right side
    34,229.25x = 5,304,573,056.25
  5. Step 5: Solve for x
    x = 5,304,573,056.25/34,229.25
  6. Step 6: Final answer
    x = 154,971.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.