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Finding the Third Proportional to 47,301.75 and 73,247.63

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Solution

The third proportional to 47,301.75 and 73,247.63 is: 113,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301.75 : 73,247.63 = 73,247.63 : x
  2. Step 2: Convert to fraction form
    47,301.75/73,247.63 = 73,247.63/x
  3. Step 3: Cross multiply
    47,301.75x = 73,247.63 × 73,247.63
  4. Step 4: Simplify right side
    47,301.75x = 5,365,214,568.14
  5. Step 5: Solve for x
    x = 5,365,214,568.14/47,301.75
  6. Step 6: Final answer
    x = 113,425.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.