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Finding the Third Proportional to 37,906 and 56,715

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Solution

The third proportional to 37,906 and 56,715 is: 84,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906 : 56,715 = 56,715 : x
  2. Step 2: Convert to fraction form
    37,906/56,715 = 56,715/x
  3. Step 3: Cross multiply
    37,906x = 56,715 × 56,715
  4. Step 4: Simplify right side
    37,906x = 3,216,591,225
  5. Step 5: Solve for x
    x = 3,216,591,225/37,906
  6. Step 6: Final answer
    x = 84,857.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.