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Finding the Third Proportional to 34,161.75 and 47,769.75

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Solution

The third proportional to 34,161.75 and 47,769.75 is: 66,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.75 : 47,769.75 = 47,769.75 : x
  2. Step 2: Convert to fraction form
    34,161.75/47,769.75 = 47,769.75/x
  3. Step 3: Cross multiply
    34,161.75x = 47,769.75 × 47,769.75
  4. Step 4: Simplify right side
    34,161.75x = 2,281,949,015.06
  5. Step 5: Solve for x
    x = 2,281,949,015.06/34,161.75
  6. Step 6: Final answer
    x = 66,798.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.