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Finding the Third Proportional to 45,934.75 and 68,902.38

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Solution

The third proportional to 45,934.75 and 68,902.38 is: 103,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,934.75 : 68,902.38 = 68,902.38 : x
  2. Step 2: Convert to fraction form
    45,934.75/68,902.38 = 68,902.38/x
  3. Step 3: Cross multiply
    45,934.75x = 68,902.38 × 68,902.38
  4. Step 4: Simplify right side
    45,934.75x = 4,747,537,280.64
  5. Step 5: Solve for x
    x = 4,747,537,280.64/45,934.75
  6. Step 6: Final answer
    x = 103,353.94

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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.