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Finding the Third Proportional to 37,971.56 and 87,907.22

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Solution

The third proportional to 37,971.56 and 87,907.22 is: 203,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971.56 : 87,907.22 = 87,907.22 : x
  2. Step 2: Convert to fraction form
    37,971.56/87,907.22 = 87,907.22/x
  3. Step 3: Cross multiply
    37,971.56x = 87,907.22 × 87,907.22
  4. Step 4: Simplify right side
    37,971.56x = 7,727,679,108.36
  5. Step 5: Solve for x
    x = 7,727,679,108.36/37,971.56
  6. Step 6: Final answer
    x = 203,512.28

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.