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Finding the Third Proportional to 37,029.38 and 52,914.94

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Solution

The third proportional to 37,029.38 and 52,914.94 is: 75,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029.38 : 52,914.94 = 52,914.94 : x
  2. Step 2: Convert to fraction form
    37,029.38/52,914.94 = 52,914.94/x
  3. Step 3: Cross multiply
    37,029.38x = 52,914.94 × 52,914.94
  4. Step 4: Simplify right side
    37,029.38x = 2,799,990,610.63
  5. Step 5: Solve for x
    x = 2,799,990,610.63/37,029.38
  6. Step 6: Final answer
    x = 75,615.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.