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Finding the Third Proportional to 37,328.25 and 56,585.25

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Solution

The third proportional to 37,328.25 and 56,585.25 is: 85,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328.25 : 56,585.25 = 56,585.25 : x
  2. Step 2: Convert to fraction form
    37,328.25/56,585.25 = 56,585.25/x
  3. Step 3: Cross multiply
    37,328.25x = 56,585.25 × 56,585.25
  4. Step 4: Simplify right side
    37,328.25x = 3,201,890,517.56
  5. Step 5: Solve for x
    x = 3,201,890,517.56/37,328.25
  6. Step 6: Final answer
    x = 85,776.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.