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Finding the Third Proportional to 47,957.25 and 75,228.75

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Solution

The third proportional to 47,957.25 and 75,228.75 is: 118,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,957.25 : 75,228.75 = 75,228.75 : x
  2. Step 2: Convert to fraction form
    47,957.25/75,228.75 = 75,228.75/x
  3. Step 3: Cross multiply
    47,957.25x = 75,228.75 × 75,228.75
  4. Step 4: Simplify right side
    47,957.25x = 5,659,364,826.56
  5. Step 5: Solve for x
    x = 5,659,364,826.56/47,957.25
  6. Step 6: Final answer
    x = 118,008.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.