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Finding the Third Proportional to 13,971 and 28,683

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Solution

The third proportional to 13,971 and 28,683 is: 58,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 28,683 = 28,683 : x
  2. Step 2: Convert to fraction form
    13,971/28,683 = 28,683/x
  3. Step 3: Cross multiply
    13,971x = 28,683 × 28,683
  4. Step 4: Simplify right side
    13,971x = 822,714,489
  5. Step 5: Solve for x
    x = 822,714,489/13,971
  6. Step 6: Final answer
    x = 58,887.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.