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Finding the Third Proportional to 5,851.50 and 12,797

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Solution

The third proportional to 5,851.50 and 12,797 is: 27,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.50 : 12,797 = 12,797 : x
  2. Step 2: Convert to fraction form
    5,851.50/12,797 = 12,797/x
  3. Step 3: Cross multiply
    5,851.50x = 12,797 × 12,797
  4. Step 4: Simplify right side
    5,851.50x = 163,763,209
  5. Step 5: Solve for x
    x = 163,763,209/5,851.50
  6. Step 6: Final answer
    x = 27,986.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.