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Finding the Third Proportional to 37,226.25 and 56,180.25

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Solution

The third proportional to 37,226.25 and 56,180.25 is: 84,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,226.25 : 56,180.25 = 56,180.25 : x
  2. Step 2: Convert to fraction form
    37,226.25/56,180.25 = 56,180.25/x
  3. Step 3: Cross multiply
    37,226.25x = 56,180.25 × 56,180.25
  4. Step 4: Simplify right side
    37,226.25x = 3,156,220,490.06
  5. Step 5: Solve for x
    x = 3,156,220,490.06/37,226.25
  6. Step 6: Final answer
    x = 84,784.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.