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Finding the Third Proportional to 5,700.25 and 12,252.25

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Solution

The third proportional to 5,700.25 and 12,252.25 is: 26,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.25 : 12,252.25 = 12,252.25 : x
  2. Step 2: Convert to fraction form
    5,700.25/12,252.25 = 12,252.25/x
  3. Step 3: Cross multiply
    5,700.25x = 12,252.25 × 12,252.25
  4. Step 4: Simplify right side
    5,700.25x = 150,117,630.06
  5. Step 5: Solve for x
    x = 150,117,630.06/5,700.25
  6. Step 6: Final answer
    x = 26,335.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.