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Finding the Third Proportional to 7,834.50 and 10,635.75

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Solution

The third proportional to 7,834.50 and 10,635.75 is: 14,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.50 : 10,635.75 = 10,635.75 : x
  2. Step 2: Convert to fraction form
    7,834.50/10,635.75 = 10,635.75/x
  3. Step 3: Cross multiply
    7,834.50x = 10,635.75 × 10,635.75
  4. Step 4: Simplify right side
    7,834.50x = 113,119,178.06
  5. Step 5: Solve for x
    x = 113,119,178.06/7,834.50
  6. Step 6: Final answer
    x = 14,438.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.