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Finding the Third Proportional to 13,816 and 29,971

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Solution

The third proportional to 13,816 and 29,971 is: 65,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 29,971 = 29,971 : x
  2. Step 2: Convert to fraction form
    13,816/29,971 = 29,971/x
  3. Step 3: Cross multiply
    13,816x = 29,971 × 29,971
  4. Step 4: Simplify right side
    13,816x = 898,260,841
  5. Step 5: Solve for x
    x = 898,260,841/13,816
  6. Step 6: Final answer
    x = 65,015.98

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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.