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Finding the Third Proportional to 47,576.25 and 103,627.13

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Solution

The third proportional to 47,576.25 and 103,627.13 is: 225,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.25 : 103,627.13 = 103,627.13 : x
  2. Step 2: Convert to fraction form
    47,576.25/103,627.13 = 103,627.13/x
  3. Step 3: Cross multiply
    47,576.25x = 103,627.13 × 103,627.13
  4. Step 4: Simplify right side
    47,576.25x = 10,738,581,035.77
  5. Step 5: Solve for x
    x = 10,738,581,035.77/47,576.25
  6. Step 6: Final answer
    x = 225,713.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.