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Finding the Third Proportional to 37,923.19 and 56,884.78

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Solution

The third proportional to 37,923.19 and 56,884.78 is: 85,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,923.19 : 56,884.78 = 56,884.78 : x
  2. Step 2: Convert to fraction form
    37,923.19/56,884.78 = 56,884.78/x
  3. Step 3: Cross multiply
    37,923.19x = 56,884.78 × 56,884.78
  4. Step 4: Simplify right side
    37,923.19x = 3,235,878,337.86
  5. Step 5: Solve for x
    x = 3,235,878,337.86/37,923.19
  6. Step 6: Final answer
    x = 85,327.17

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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.