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Finding the Third Proportional to 37,234.69 and 87,822.56

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Solution

The third proportional to 37,234.69 and 87,822.56 is: 207,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234.69 : 87,822.56 = 87,822.56 : x
  2. Step 2: Convert to fraction form
    37,234.69/87,822.56 = 87,822.56/x
  3. Step 3: Cross multiply
    37,234.69x = 87,822.56 × 87,822.56
  4. Step 4: Simplify right side
    37,234.69x = 7,712,802,484.07
  5. Step 5: Solve for x
    x = 7,712,802,484.07/37,234.69
  6. Step 6: Final answer
    x = 207,140.25

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.