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Finding the Third Proportional to 5,851.13 and 12,693.94

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Solution

The third proportional to 5,851.13 and 12,693.94 is: 27,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.13 : 12,693.94 = 12,693.94 : x
  2. Step 2: Convert to fraction form
    5,851.13/12,693.94 = 12,693.94/x
  3. Step 3: Cross multiply
    5,851.13x = 12,693.94 × 12,693.94
  4. Step 4: Simplify right side
    5,851.13x = 161,136,049.25
  5. Step 5: Solve for x
    x = 161,136,049.25/5,851.13
  6. Step 6: Final answer
    x = 27,539.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.