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Finding the Third Proportional to 40,540.50 and 60,648

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Solution

The third proportional to 40,540.50 and 60,648 is: 90,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,540.50 : 60,648 = 60,648 : x
  2. Step 2: Convert to fraction form
    40,540.50/60,648 = 60,648/x
  3. Step 3: Cross multiply
    40,540.50x = 60,648 × 60,648
  4. Step 4: Simplify right side
    40,540.50x = 3,678,179,904
  5. Step 5: Solve for x
    x = 3,678,179,904/40,540.50
  6. Step 6: Final answer
    x = 90,728.53

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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.