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Finding the Third Proportional to 37,502.34 and 52,751.72

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Solution

The third proportional to 37,502.34 and 52,751.72 is: 74,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,502.34 : 52,751.72 = 52,751.72 : x
  2. Step 2: Convert to fraction form
    37,502.34/52,751.72 = 52,751.72/x
  3. Step 3: Cross multiply
    37,502.34x = 52,751.72 × 52,751.72
  4. Step 4: Simplify right side
    37,502.34x = 2,782,743,831.08
  5. Step 5: Solve for x
    x = 2,782,743,831.08/37,502.34
  6. Step 6: Final answer
    x = 74,201.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.