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Finding the Third Proportional to 5,971.54 and 12,805.91

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Solution

The third proportional to 5,971.54 and 12,805.91 is: 27,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.54 : 12,805.91 = 12,805.91 : x
  2. Step 2: Convert to fraction form
    5,971.54/12,805.91 = 12,805.91/x
  3. Step 3: Cross multiply
    5,971.54x = 12,805.91 × 12,805.91
  4. Step 4: Simplify right side
    5,971.54x = 163,991,334.93
  5. Step 5: Solve for x
    x = 163,991,334.93/5,971.54
  6. Step 6: Final answer
    x = 27,462.17

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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.