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Finding the Third Proportional to 31,783.50 and 42,195

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Solution

The third proportional to 31,783.50 and 42,195 is: 56,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.50 : 42,195 = 42,195 : x
  2. Step 2: Convert to fraction form
    31,783.50/42,195 = 42,195/x
  3. Step 3: Cross multiply
    31,783.50x = 42,195 × 42,195
  4. Step 4: Simplify right side
    31,783.50x = 1,780,418,025
  5. Step 5: Solve for x
    x = 1,780,418,025/31,783.50
  6. Step 6: Final answer
    x = 56,017.05

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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.