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Finding the Third Proportional to 1,409.63 and 2,859.75

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Solution

The third proportional to 1,409.63 and 2,859.75 is: 5,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.63 : 2,859.75 = 2,859.75 : x
  2. Step 2: Convert to fraction form
    1,409.63/2,859.75 = 2,859.75/x
  3. Step 3: Cross multiply
    1,409.63x = 2,859.75 × 2,859.75
  4. Step 4: Simplify right side
    1,409.63x = 8,178,170.06
  5. Step 5: Solve for x
    x = 8,178,170.06/1,409.63
  6. Step 6: Final answer
    x = 5,801.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.