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Finding the Third Proportional to 4,731 and 11,051.25

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Solution

The third proportional to 4,731 and 11,051.25 is: 25,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731 : 11,051.25 = 11,051.25 : x
  2. Step 2: Convert to fraction form
    4,731/11,051.25 = 11,051.25/x
  3. Step 3: Cross multiply
    4,731x = 11,051.25 × 11,051.25
  4. Step 4: Simplify right side
    4,731x = 122,130,126.56
  5. Step 5: Solve for x
    x = 122,130,126.56/4,731
  6. Step 6: Final answer
    x = 25,814.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.