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Finding the Third Proportional to 37,606.50 and 58,308.19

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Solution

The third proportional to 37,606.50 and 58,308.19 is: 90,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606.50 : 58,308.19 = 58,308.19 : x
  2. Step 2: Convert to fraction form
    37,606.50/58,308.19 = 58,308.19/x
  3. Step 3: Cross multiply
    37,606.50x = 58,308.19 × 58,308.19
  4. Step 4: Simplify right side
    37,606.50x = 3,399,844,729.54
  5. Step 5: Solve for x
    x = 3,399,844,729.54/37,606.50
  6. Step 6: Final answer
    x = 90,405.77

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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.