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Finding the Third Proportional to 4,812.75 and 10,007.75

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Solution

The third proportional to 4,812.75 and 10,007.75 is: 20,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.75 : 10,007.75 = 10,007.75 : x
  2. Step 2: Convert to fraction form
    4,812.75/10,007.75 = 10,007.75/x
  3. Step 3: Cross multiply
    4,812.75x = 10,007.75 × 10,007.75
  4. Step 4: Simplify right side
    4,812.75x = 100,155,060.06
  5. Step 5: Solve for x
    x = 100,155,060.06/4,812.75
  6. Step 6: Final answer
    x = 20,810.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.