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Finding the Third Proportional to 6,835.50 and 10,708.88

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Solution

The third proportional to 6,835.50 and 10,708.88 is: 16,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.50 : 10,708.88 = 10,708.88 : x
  2. Step 2: Convert to fraction form
    6,835.50/10,708.88 = 10,708.88/x
  3. Step 3: Cross multiply
    6,835.50x = 10,708.88 × 10,708.88
  4. Step 4: Simplify right side
    6,835.50x = 114,680,003.77
  5. Step 5: Solve for x
    x = 114,680,003.77/6,835.50
  6. Step 6: Final answer
    x = 16,777.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.