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Finding the Third Proportional to 5,971 and 13,035

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Solution

The third proportional to 5,971 and 13,035 is: 28,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 13,035 = 13,035 : x
  2. Step 2: Convert to fraction form
    5,971/13,035 = 13,035/x
  3. Step 3: Cross multiply
    5,971x = 13,035 × 13,035
  4. Step 4: Simplify right side
    5,971x = 169,911,225
  5. Step 5: Solve for x
    x = 169,911,225/5,971
  6. Step 6: Final answer
    x = 28,456.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.