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Finding the Third Proportional to 33,908.63 and 51,652.69

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Solution

The third proportional to 33,908.63 and 51,652.69 is: 78,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,908.63 : 51,652.69 = 51,652.69 : x
  2. Step 2: Convert to fraction form
    33,908.63/51,652.69 = 51,652.69/x
  3. Step 3: Cross multiply
    33,908.63x = 51,652.69 × 51,652.69
  4. Step 4: Simplify right side
    33,908.63x = 2,668,000,125.97
  5. Step 5: Solve for x
    x = 2,668,000,125.97/33,908.63
  6. Step 6: Final answer
    x = 78,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.