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Finding the Third Proportional to 38,241.75 and 56,237.25

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Solution

The third proportional to 38,241.75 and 56,237.25 is: 82,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241.75 : 56,237.25 = 56,237.25 : x
  2. Step 2: Convert to fraction form
    38,241.75/56,237.25 = 56,237.25/x
  3. Step 3: Cross multiply
    38,241.75x = 56,237.25 × 56,237.25
  4. Step 4: Simplify right side
    38,241.75x = 3,162,628,287.56
  5. Step 5: Solve for x
    x = 3,162,628,287.56/38,241.75
  6. Step 6: Final answer
    x = 82,700.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.