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Finding the Third Proportional to 34,953.75 and 54,222.75

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Solution

The third proportional to 34,953.75 and 54,222.75 is: 84,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,953.75 : 54,222.75 = 54,222.75 : x
  2. Step 2: Convert to fraction form
    34,953.75/54,222.75 = 54,222.75/x
  3. Step 3: Cross multiply
    34,953.75x = 54,222.75 × 54,222.75
  4. Step 4: Simplify right side
    34,953.75x = 2,940,106,617.56
  5. Step 5: Solve for x
    x = 2,940,106,617.56/34,953.75
  6. Step 6: Final answer
    x = 84,114.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.