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Finding the Third Proportional to 4,072.55 and 6,295.88

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Solution

The third proportional to 4,072.55 and 6,295.88 is: 9,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.55 : 6,295.88 = 6,295.88 : x
  2. Step 2: Convert to fraction form
    4,072.55/6,295.88 = 6,295.88/x
  3. Step 3: Cross multiply
    4,072.55x = 6,295.88 × 6,295.88
  4. Step 4: Simplify right side
    4,072.55x = 39,638,042.02
  5. Step 5: Solve for x
    x = 39,638,042.02/4,072.55
  6. Step 6: Final answer
    x = 9,732.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.