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Finding the Third Proportional to 4,859.25 and 10,409.75

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Solution

The third proportional to 4,859.25 and 10,409.75 is: 22,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.25 : 10,409.75 = 10,409.75 : x
  2. Step 2: Convert to fraction form
    4,859.25/10,409.75 = 10,409.75/x
  3. Step 3: Cross multiply
    4,859.25x = 10,409.75 × 10,409.75
  4. Step 4: Simplify right side
    4,859.25x = 108,362,895.06
  5. Step 5: Solve for x
    x = 108,362,895.06/4,859.25
  6. Step 6: Final answer
    x = 22,300.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.