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Finding the Third Proportional to 7,701.75 and 10,455.75

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Solution

The third proportional to 7,701.75 and 10,455.75 is: 14,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.75 : 10,455.75 = 10,455.75 : x
  2. Step 2: Convert to fraction form
    7,701.75/10,455.75 = 10,455.75/x
  3. Step 3: Cross multiply
    7,701.75x = 10,455.75 × 10,455.75
  4. Step 4: Simplify right side
    7,701.75x = 109,322,708.06
  5. Step 5: Solve for x
    x = 109,322,708.06/7,701.75
  6. Step 6: Final answer
    x = 14,194.53

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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.