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Finding the Third Proportional to 50,564.25 and 72,834.19

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Solution

The third proportional to 50,564.25 and 72,834.19 is: 104,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.25 : 72,834.19 = 72,834.19 : x
  2. Step 2: Convert to fraction form
    50,564.25/72,834.19 = 72,834.19/x
  3. Step 3: Cross multiply
    50,564.25x = 72,834.19 × 72,834.19
  4. Step 4: Simplify right side
    50,564.25x = 5,304,818,868.79
  5. Step 5: Solve for x
    x = 5,304,818,868.79/50,564.25
  6. Step 6: Final answer
    x = 104,912.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.