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Finding the Third Proportional to 34,154.25 and 51,923.25

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Solution

The third proportional to 34,154.25 and 51,923.25 is: 78,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.25 : 51,923.25 = 51,923.25 : x
  2. Step 2: Convert to fraction form
    34,154.25/51,923.25 = 51,923.25/x
  3. Step 3: Cross multiply
    34,154.25x = 51,923.25 × 51,923.25
  4. Step 4: Simplify right side
    34,154.25x = 2,696,023,890.56
  5. Step 5: Solve for x
    x = 2,696,023,890.56/34,154.25
  6. Step 6: Final answer
    x = 78,936.70

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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.