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Finding the Third Proportional to 47,500 and 74,125

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Solution

The third proportional to 47,500 and 74,125 is: 115,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,500 : 74,125 = 74,125 : x
  2. Step 2: Convert to fraction form
    47,500/74,125 = 74,125/x
  3. Step 3: Cross multiply
    47,500x = 74,125 × 74,125
  4. Step 4: Simplify right side
    47,500x = 5,494,515,625
  5. Step 5: Solve for x
    x = 5,494,515,625/47,500
  6. Step 6: Final answer
    x = 115,674.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.