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Finding the Third Proportional to 4,725.19 and 10,047.75

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Solution

The third proportional to 4,725.19 and 10,047.75 is: 21,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.19 : 10,047.75 = 10,047.75 : x
  2. Step 2: Convert to fraction form
    4,725.19/10,047.75 = 10,047.75/x
  3. Step 3: Cross multiply
    4,725.19x = 10,047.75 × 10,047.75
  4. Step 4: Simplify right side
    4,725.19x = 100,957,280.06
  5. Step 5: Solve for x
    x = 100,957,280.06/4,725.19
  6. Step 6: Final answer
    x = 21,365.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.