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Finding the Third Proportional to 47,076.75 and 103,484.25

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Solution

The third proportional to 47,076.75 and 103,484.25 is: 227,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076.75 : 103,484.25 = 103,484.25 : x
  2. Step 2: Convert to fraction form
    47,076.75/103,484.25 = 103,484.25/x
  3. Step 3: Cross multiply
    47,076.75x = 103,484.25 × 103,484.25
  4. Step 4: Simplify right side
    47,076.75x = 10,708,989,998.06
  5. Step 5: Solve for x
    x = 10,708,989,998.06/47,076.75
  6. Step 6: Final answer
    x = 227,479.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.