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Finding the Third Proportional to 15,826.50 and 33,771.70

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Solution

The third proportional to 15,826.50 and 33,771.70 is: 72,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.50 : 33,771.70 = 33,771.70 : x
  2. Step 2: Convert to fraction form
    15,826.50/33,771.70 = 33,771.70/x
  3. Step 3: Cross multiply
    15,826.50x = 33,771.70 × 33,771.70
  4. Step 4: Simplify right side
    15,826.50x = 1,140,527,931.96
  5. Step 5: Solve for x
    x = 1,140,527,931.96/15,826.50
  6. Step 6: Final answer
    x = 72,064.44

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.