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Finding the Third Proportional to 4,743.75 and 7,451.63

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Solution

The third proportional to 4,743.75 and 7,451.63 is: 11,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.75 : 7,451.63 = 7,451.63 : x
  2. Step 2: Convert to fraction form
    4,743.75/7,451.63 = 7,451.63/x
  3. Step 3: Cross multiply
    4,743.75x = 7,451.63 × 7,451.63
  4. Step 4: Simplify right side
    4,743.75x = 55,526,715.14
  5. Step 5: Solve for x
    x = 55,526,715.14/4,743.75
  6. Step 6: Final answer
    x = 11,705.24

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Why These Related Problems?

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