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Finding the Third Proportional to 4,768.50 and 10,150.50

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Solution

The third proportional to 4,768.50 and 10,150.50 is: 21,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.50 : 10,150.50 = 10,150.50 : x
  2. Step 2: Convert to fraction form
    4,768.50/10,150.50 = 10,150.50/x
  3. Step 3: Cross multiply
    4,768.50x = 10,150.50 × 10,150.50
  4. Step 4: Simplify right side
    4,768.50x = 103,032,650.25
  5. Step 5: Solve for x
    x = 103,032,650.25/4,768.50
  6. Step 6: Final answer
    x = 21,606.93

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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.