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Finding the Third Proportional to 4,821.75 and 11,203.13

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Solution

The third proportional to 4,821.75 and 11,203.13 is: 26,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.75 : 11,203.13 = 11,203.13 : x
  2. Step 2: Convert to fraction form
    4,821.75/11,203.13 = 11,203.13/x
  3. Step 3: Cross multiply
    4,821.75x = 11,203.13 × 11,203.13
  4. Step 4: Simplify right side
    4,821.75x = 125,510,009.77
  5. Step 5: Solve for x
    x = 125,510,009.77/4,821.75
  6. Step 6: Final answer
    x = 26,029.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.