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Finding the Third Proportional to 47,622.56 and 101,805.75

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Solution

The third proportional to 47,622.56 and 101,805.75 is: 217,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,622.56 : 101,805.75 = 101,805.75 : x
  2. Step 2: Convert to fraction form
    47,622.56/101,805.75 = 101,805.75/x
  3. Step 3: Cross multiply
    47,622.56x = 101,805.75 × 101,805.75
  4. Step 4: Simplify right side
    47,622.56x = 10,364,410,733.06
  5. Step 5: Solve for x
    x = 10,364,410,733.06/47,622.56
  6. Step 6: Final answer
    x = 217,636.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.