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Finding the Third Proportional to 7,861.50 and 16,953.75

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Solution

The third proportional to 7,861.50 and 16,953.75 is: 36,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.50 : 16,953.75 = 16,953.75 : x
  2. Step 2: Convert to fraction form
    7,861.50/16,953.75 = 16,953.75/x
  3. Step 3: Cross multiply
    7,861.50x = 16,953.75 × 16,953.75
  4. Step 4: Simplify right side
    7,861.50x = 287,429,639.06
  5. Step 5: Solve for x
    x = 287,429,639.06/7,861.50
  6. Step 6: Final answer
    x = 36,561.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.