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Finding the Third Proportional to 31,779.84 and 42,190.88

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Solution

The third proportional to 31,779.84 and 42,190.88 is: 56,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 42,190.88 = 42,190.88 : x
  2. Step 2: Convert to fraction form
    31,779.84/42,190.88 = 42,190.88/x
  3. Step 3: Cross multiply
    31,779.84x = 42,190.88 × 42,190.88
  4. Step 4: Simplify right side
    31,779.84x = 1,780,069,933.27
  5. Step 5: Solve for x
    x = 1,780,069,933.27/31,779.84
  6. Step 6: Final answer
    x = 56,012.55

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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.