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Finding the Third Proportional to 7,488 and 16,409.25

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Solution

The third proportional to 7,488 and 16,409.25 is: 35,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488 : 16,409.25 = 16,409.25 : x
  2. Step 2: Convert to fraction form
    7,488/16,409.25 = 16,409.25/x
  3. Step 3: Cross multiply
    7,488x = 16,409.25 × 16,409.25
  4. Step 4: Simplify right side
    7,488x = 269,263,485.56
  5. Step 5: Solve for x
    x = 269,263,485.56/7,488
  6. Step 6: Final answer
    x = 35,959.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.