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Finding the Third Proportional to 5,742.30 and 12,287.64

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Solution

The third proportional to 5,742.30 and 12,287.64 is: 26,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.30 : 12,287.64 = 12,287.64 : x
  2. Step 2: Convert to fraction form
    5,742.30/12,287.64 = 12,287.64/x
  3. Step 3: Cross multiply
    5,742.30x = 12,287.64 × 12,287.64
  4. Step 4: Simplify right side
    5,742.30x = 150,986,016.13
  5. Step 5: Solve for x
    x = 150,986,016.13/5,742.30
  6. Step 6: Final answer
    x = 26,293.65

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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.