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Finding the Third Proportional to 34,809.75 and 81,334.13

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Solution

The third proportional to 34,809.75 and 81,334.13 is: 190,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.75 : 81,334.13 = 81,334.13 : x
  2. Step 2: Convert to fraction form
    34,809.75/81,334.13 = 81,334.13/x
  3. Step 3: Cross multiply
    34,809.75x = 81,334.13 × 81,334.13
  4. Step 4: Simplify right side
    34,809.75x = 6,615,239,889.52
  5. Step 5: Solve for x
    x = 6,615,239,889.52/34,809.75
  6. Step 6: Final answer
    x = 190,039.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.