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Finding the Third Proportional to 2,885.63 and 5,704.17

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Solution

The third proportional to 2,885.63 and 5,704.17 is: 11,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 5,704.17 = 5,704.17 : x
  2. Step 2: Convert to fraction form
    2,885.63/5,704.17 = 5,704.17/x
  3. Step 3: Cross multiply
    2,885.63x = 5,704.17 × 5,704.17
  4. Step 4: Simplify right side
    2,885.63x = 32,537,576.78
  5. Step 5: Solve for x
    x = 32,537,576.78/2,885.63
  6. Step 6: Final answer
    x = 11,275.75

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.