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Finding the Third Proportional to 4,999.13 and 10,725.56

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Solution

The third proportional to 4,999.13 and 10,725.56 is: 23,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.13 : 10,725.56 = 10,725.56 : x
  2. Step 2: Convert to fraction form
    4,999.13/10,725.56 = 10,725.56/x
  3. Step 3: Cross multiply
    4,999.13x = 10,725.56 × 10,725.56
  4. Step 4: Simplify right side
    4,999.13x = 115,037,690.94
  5. Step 5: Solve for x
    x = 115,037,690.94/4,999.13
  6. Step 6: Final answer
    x = 23,011.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.