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Finding the Third Proportional to 4,790.25 and 7,687.13

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Solution

The third proportional to 4,790.25 and 7,687.13 is: 12,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790.25 : 7,687.13 = 7,687.13 : x
  2. Step 2: Convert to fraction form
    4,790.25/7,687.13 = 7,687.13/x
  3. Step 3: Cross multiply
    4,790.25x = 7,687.13 × 7,687.13
  4. Step 4: Simplify right side
    4,790.25x = 59,091,890.77
  5. Step 5: Solve for x
    x = 59,091,890.77/4,790.25
  6. Step 6: Final answer
    x = 12,335.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.