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Finding the Third Proportional to 4,731.75 and 11,188.13

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Solution

The third proportional to 4,731.75 and 11,188.13 is: 26,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.75 : 11,188.13 = 11,188.13 : x
  2. Step 2: Convert to fraction form
    4,731.75/11,188.13 = 11,188.13/x
  3. Step 3: Cross multiply
    4,731.75x = 11,188.13 × 11,188.13
  4. Step 4: Simplify right side
    4,731.75x = 125,174,141.02
  5. Step 5: Solve for x
    x = 125,174,141.02/4,731.75
  6. Step 6: Final answer
    x = 26,454.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.