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Finding the Third Proportional to 37,676.50 and 56,999.75

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Solution

The third proportional to 37,676.50 and 56,999.75 is: 86,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,676.50 : 56,999.75 = 56,999.75 : x
  2. Step 2: Convert to fraction form
    37,676.50/56,999.75 = 56,999.75/x
  3. Step 3: Cross multiply
    37,676.50x = 56,999.75 × 56,999.75
  4. Step 4: Simplify right side
    37,676.50x = 3,248,971,500.06
  5. Step 5: Solve for x
    x = 3,248,971,500.06/37,676.50
  6. Step 6: Final answer
    x = 86,233.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.