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Finding the Third Proportional to 45,923.94 and 69,578.05

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Solution

The third proportional to 45,923.94 and 69,578.05 is: 105,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,923.94 : 69,578.05 = 69,578.05 : x
  2. Step 2: Convert to fraction form
    45,923.94/69,578.05 = 69,578.05/x
  3. Step 3: Cross multiply
    45,923.94x = 69,578.05 × 69,578.05
  4. Step 4: Simplify right side
    45,923.94x = 4,841,105,150.52
  5. Step 5: Solve for x
    x = 4,841,105,150.52/45,923.94
  6. Step 6: Final answer
    x = 105,415.72

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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.