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Finding the Third Proportional to 2,609.63 and 4,005.75

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Solution

The third proportional to 2,609.63 and 4,005.75 is: 6,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.63 : 4,005.75 = 4,005.75 : x
  2. Step 2: Convert to fraction form
    2,609.63/4,005.75 = 4,005.75/x
  3. Step 3: Cross multiply
    2,609.63x = 4,005.75 × 4,005.75
  4. Step 4: Simplify right side
    2,609.63x = 16,046,033.06
  5. Step 5: Solve for x
    x = 16,046,033.06/2,609.63
  6. Step 6: Final answer
    x = 6,148.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.