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Finding the Third Proportional to 37,013.63 and 52,752.09

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Solution

The third proportional to 37,013.63 and 52,752.09 is: 75,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,013.63 : 52,752.09 = 52,752.09 : x
  2. Step 2: Convert to fraction form
    37,013.63/52,752.09 = 52,752.09/x
  3. Step 3: Cross multiply
    37,013.63x = 52,752.09 × 52,752.09
  4. Step 4: Simplify right side
    37,013.63x = 2,782,783,395.01
  5. Step 5: Solve for x
    x = 2,782,783,395.01/37,013.63
  6. Step 6: Final answer
    x = 75,182.68

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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.