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Finding the Third Proportional to 37,847.81 and 56,038.78

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Solution

The third proportional to 37,847.81 and 56,038.78 is: 82,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.81 : 56,038.78 = 56,038.78 : x
  2. Step 2: Convert to fraction form
    37,847.81/56,038.78 = 56,038.78/x
  3. Step 3: Cross multiply
    37,847.81x = 56,038.78 × 56,038.78
  4. Step 4: Simplify right side
    37,847.81x = 3,140,345,003.99
  5. Step 5: Solve for x
    x = 3,140,345,003.99/37,847.81
  6. Step 6: Final answer
    x = 82,972.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.