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Finding the Third Proportional to 6,857 and 14,971

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Solution

The third proportional to 6,857 and 14,971 is: 32,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857 : 14,971 = 14,971 : x
  2. Step 2: Convert to fraction form
    6,857/14,971 = 14,971/x
  3. Step 3: Cross multiply
    6,857x = 14,971 × 14,971
  4. Step 4: Simplify right side
    6,857x = 224,130,841
  5. Step 5: Solve for x
    x = 224,130,841/6,857
  6. Step 6: Final answer
    x = 32,686.43

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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.