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Finding the Third Proportional to 37,308 and 57,852.75

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Solution

The third proportional to 37,308 and 57,852.75 is: 89,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,308 : 57,852.75 = 57,852.75 : x
  2. Step 2: Convert to fraction form
    37,308/57,852.75 = 57,852.75/x
  3. Step 3: Cross multiply
    37,308x = 57,852.75 × 57,852.75
  4. Step 4: Simplify right side
    37,308x = 3,346,940,682.56
  5. Step 5: Solve for x
    x = 3,346,940,682.56/37,308
  6. Step 6: Final answer
    x = 89,711.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.