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Finding the Third Proportional to 44,986.50 and 67,232.25

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Solution

The third proportional to 44,986.50 and 67,232.25 is: 100,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,986.50 : 67,232.25 = 67,232.25 : x
  2. Step 2: Convert to fraction form
    44,986.50/67,232.25 = 67,232.25/x
  3. Step 3: Cross multiply
    44,986.50x = 67,232.25 × 67,232.25
  4. Step 4: Simplify right side
    44,986.50x = 4,520,175,440.06
  5. Step 5: Solve for x
    x = 4,520,175,440.06/44,986.50
  6. Step 6: Final answer
    x = 100,478.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.