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Finding the Third Proportional to 34,954.03 and 52,434.84

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Solution

The third proportional to 34,954.03 and 52,434.84 is: 78,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954.03 : 52,434.84 = 52,434.84 : x
  2. Step 2: Convert to fraction form
    34,954.03/52,434.84 = 52,434.84/x
  3. Step 3: Cross multiply
    34,954.03x = 52,434.84 × 52,434.84
  4. Step 4: Simplify right side
    34,954.03x = 2,749,412,839.09
  5. Step 5: Solve for x
    x = 2,749,412,839.09/34,954.03
  6. Step 6: Final answer
    x = 78,657.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.