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Finding the Third Proportional to 5,960.25 and 12,851.63

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Solution

The third proportional to 5,960.25 and 12,851.63 is: 27,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.25 : 12,851.63 = 12,851.63 : x
  2. Step 2: Convert to fraction form
    5,960.25/12,851.63 = 12,851.63/x
  3. Step 3: Cross multiply
    5,960.25x = 12,851.63 × 12,851.63
  4. Step 4: Simplify right side
    5,960.25x = 165,164,265.14
  5. Step 5: Solve for x
    x = 165,164,265.14/5,960.25
  6. Step 6: Final answer
    x = 27,710.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.