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Finding the Third Proportional to 47,523.38 and 100,851.75

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Solution

The third proportional to 47,523.38 and 100,851.75 is: 214,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523.38 : 100,851.75 = 100,851.75 : x
  2. Step 2: Convert to fraction form
    47,523.38/100,851.75 = 100,851.75/x
  3. Step 3: Cross multiply
    47,523.38x = 100,851.75 × 100,851.75
  4. Step 4: Simplify right side
    47,523.38x = 10,171,075,478.06
  5. Step 5: Solve for x
    x = 10,171,075,478.06/47,523.38
  6. Step 6: Final answer
    x = 214,022.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.