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Finding the Third Proportional to 5,352 and 10,971

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Solution

The third proportional to 5,352 and 10,971 is: 22,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352 : 10,971 = 10,971 : x
  2. Step 2: Convert to fraction form
    5,352/10,971 = 10,971/x
  3. Step 3: Cross multiply
    5,352x = 10,971 × 10,971
  4. Step 4: Simplify right side
    5,352x = 120,362,841
  5. Step 5: Solve for x
    x = 120,362,841/5,352
  6. Step 6: Final answer
    x = 22,489.32

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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.