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Finding the Third Proportional to 5,128.45 and 10,237.78

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Solution

The third proportional to 5,128.45 and 10,237.78 is: 20,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.45 : 10,237.78 = 10,237.78 : x
  2. Step 2: Convert to fraction form
    5,128.45/10,237.78 = 10,237.78/x
  3. Step 3: Cross multiply
    5,128.45x = 10,237.78 × 10,237.78
  4. Step 4: Simplify right side
    5,128.45x = 104,812,164.92
  5. Step 5: Solve for x
    x = 104,812,164.92/5,128.45
  6. Step 6: Final answer
    x = 20,437.38

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.