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Finding the Third Proportional to 6,298 and 9,971

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Solution

The third proportional to 6,298 and 9,971 is: 15,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 9,971 = 9,971 : x
  2. Step 2: Convert to fraction form
    6,298/9,971 = 9,971/x
  3. Step 3: Cross multiply
    6,298x = 9,971 × 9,971
  4. Step 4: Simplify right side
    6,298x = 99,420,841
  5. Step 5: Solve for x
    x = 99,420,841/6,298
  6. Step 6: Final answer
    x = 15,786.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.