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Finding the Third Proportional to 5,317 and 9,971

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Solution

The third proportional to 5,317 and 9,971 is: 18,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317 : 9,971 = 9,971 : x
  2. Step 2: Convert to fraction form
    5,317/9,971 = 9,971/x
  3. Step 3: Cross multiply
    5,317x = 9,971 × 9,971
  4. Step 4: Simplify right side
    5,317x = 99,420,841
  5. Step 5: Solve for x
    x = 99,420,841/5,317
  6. Step 6: Final answer
    x = 18,698.67

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.