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Finding the Third Proportional to 31,518 and 42,054.75

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Solution

The third proportional to 31,518 and 42,054.75 is: 56,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518 : 42,054.75 = 42,054.75 : x
  2. Step 2: Convert to fraction form
    31,518/42,054.75 = 42,054.75/x
  3. Step 3: Cross multiply
    31,518x = 42,054.75 × 42,054.75
  4. Step 4: Simplify right side
    31,518x = 1,768,601,997.56
  5. Step 5: Solve for x
    x = 1,768,601,997.56/31,518
  6. Step 6: Final answer
    x = 56,114.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.