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Finding the Third Proportional to 32,034.50 and 68,805

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Solution

The third proportional to 32,034.50 and 68,805 is: 147,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.50 : 68,805 = 68,805 : x
  2. Step 2: Convert to fraction form
    32,034.50/68,805 = 68,805/x
  3. Step 3: Cross multiply
    32,034.50x = 68,805 × 68,805
  4. Step 4: Simplify right side
    32,034.50x = 4,734,128,025
  5. Step 5: Solve for x
    x = 4,734,128,025/32,034.50
  6. Step 6: Final answer
    x = 147,782.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.