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Finding the Third Proportional to 44,634.50 and 61,203.75

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Solution

The third proportional to 44,634.50 and 61,203.75 is: 83,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,634.50 : 61,203.75 = 61,203.75 : x
  2. Step 2: Convert to fraction form
    44,634.50/61,203.75 = 61,203.75/x
  3. Step 3: Cross multiply
    44,634.50x = 61,203.75 × 61,203.75
  4. Step 4: Simplify right side
    44,634.50x = 3,745,899,014.06
  5. Step 5: Solve for x
    x = 3,745,899,014.06/44,634.50
  6. Step 6: Final answer
    x = 83,923.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.