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Finding the Third Proportional to 4,812.25 and 10,002.50

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Solution

The third proportional to 4,812.25 and 10,002.50 is: 20,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.25 : 10,002.50 = 10,002.50 : x
  2. Step 2: Convert to fraction form
    4,812.25/10,002.50 = 10,002.50/x
  3. Step 3: Cross multiply
    4,812.25x = 10,002.50 × 10,002.50
  4. Step 4: Simplify right side
    4,812.25x = 100,050,006.25
  5. Step 5: Solve for x
    x = 100,050,006.25/4,812.25
  6. Step 6: Final answer
    x = 20,790.69

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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.