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Finding the Third Proportional to 31,503 and 42,034.50

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Solution

The third proportional to 31,503 and 42,034.50 is: 56,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503 : 42,034.50 = 42,034.50 : x
  2. Step 2: Convert to fraction form
    31,503/42,034.50 = 42,034.50/x
  3. Step 3: Cross multiply
    31,503x = 42,034.50 × 42,034.50
  4. Step 4: Simplify right side
    31,503x = 1,766,899,190.25
  5. Step 5: Solve for x
    x = 1,766,899,190.25/31,503
  6. Step 6: Final answer
    x = 56,086.70

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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.