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Finding the Third Proportional to 31,056.75 and 48,430.41

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Solution

The third proportional to 31,056.75 and 48,430.41 is: 75,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.75 : 48,430.41 = 48,430.41 : x
  2. Step 2: Convert to fraction form
    31,056.75/48,430.41 = 48,430.41/x
  3. Step 3: Cross multiply
    31,056.75x = 48,430.41 × 48,430.41
  4. Step 4: Simplify right side
    31,056.75x = 2,345,504,249.54
  5. Step 5: Solve for x
    x = 2,345,504,249.54/31,056.75
  6. Step 6: Final answer
    x = 75,523.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.