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Finding the Third Proportional to 18,001.75 and 37,152.50

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Solution

The third proportional to 18,001.75 and 37,152.50 is: 76,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,001.75 : 37,152.50 = 37,152.50 : x
  2. Step 2: Convert to fraction form
    18,001.75/37,152.50 = 37,152.50/x
  3. Step 3: Cross multiply
    18,001.75x = 37,152.50 × 37,152.50
  4. Step 4: Simplify right side
    18,001.75x = 1,380,308,256.25
  5. Step 5: Solve for x
    x = 1,380,308,256.25/18,001.75
  6. Step 6: Final answer
    x = 76,676.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.